Company: MYI
Filing Date: 2025-07-15
Form Type: 425
Source: 0001193125-25-159406
Chunk: 44

Company: BLACKROCK MUNIYIELD QUALITY FUND III, INC.
Filing Date: 2025-07-15
Form: 425
Chunk 44
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 Depositary reasonable and customary compensation for their services and will also reimburse them for certain out-of-pocketexpenses and indemnify them against certain liabilities.

| 18. | Miscellaneous. |

The Offer is not being made to, nor will the Fund accept tenders from, or on behalf of, owners of Shares in any jurisdiction in which the making of the Offer or its acceptance would not comply with the securities or “blue sky” laws of that jurisdiction. The Fund is not aware of any jurisdiction in which the making of the Offer or the acceptance of tenders of, purchase of, or payment for, Shares in accordance with the Offer would not be in compliance with the laws of such jurisdiction. The Fund, however, reserves the right to exclude stockholders in any jurisdiction in which it is asserted that the Offer cannot lawfully be made or tendered Shares cannot lawfully be accepted, purchased or paid for. So long as the Fund makes a good-faith effort to comply with any state law deemed applicable to the Offer, the Fund believes that the exclusion of stockholders residing in any such jurisdiction is permitted under Rule 13e-4(f)(9)promulgated under the Exchange Act. In any jurisdiction where the securities, blue sky or other laws require the Offer to be made by a licensed broker or dealer, the Offer shall be deemed to be made on the Fund’s behalf by one or more brokers or dealers licensed under the laws of such jurisdiction. FINANCIAL STATEMENTS The audited annual financial statements of the Fund dated July31, 2024 and the schedule of investments of the Fund dated July31, 2024, both filed with the SEC on EDGAR on Form N-CSRon October3,2024,are incorporated by reference. The unaudited semi-annual financial statements of the Fund dated January31,2025 and the schedule of investments of the Fund dated January31, 2025, both filed with the SEC on EDGAR on Form N-CSRSon April7, 2025, are incorporated by reference. 16

The Letter of Transmittal and Share certificates and any other required documentation should be sent or delivered by each stockholder or the stockholder’s broker, dealer, commercial bank, trust company or other nominee to the Depositary at one of the addresses set forth below. The Depositary for the Offer is: Computershare Trust Company, N.A.

| By First Class, Registered or Certified Mail: |     | By Express Mail or Overnight Courier: |
| Comput