Exhibit 99.1 Blue Owl Capital Corporation III Reports First Quarter Net Investment Income Per Share of $0.39 and NAV Per Share of$15.65 NEW YORK — May 8, 2024 — Blue Owl Capital Corporation III (NYSE: OBDE, or the “Company”) today announced financial results for its first quarter ended March 31, 2024. FIRST QUARTER 2024 HIGHLIGHTS • First quarter net investment income (“NII”) per share of $0.39, which exceeds the first quarter regular dividend of$0.35 per share by $0.04 per share • Successfully listed on ...