ΔE 24.6, loose: different enough that you should pick on purpose. Forged Red is much more saturated, warmer than Gold Rush.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 25). Forged Red is much more saturated, warmer than Gold Rush.
The same difference applies the other way round: Gold Rush is much more muted, cooler.
ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.
See Gold Rush on the colour wheel See Forged Red on the colour wheel
All matches: Gold Rush equivalents · Forged Red equivalents