Step 1 :Total number of seats = Mean number of seats per cinema * Total number of cinemas = \(380 * 3 = 1140\)
Step 2 :Number of seats in cinema C = Total number of seats - (Number of seats in cinema A + Number of seats in cinema B) = \(1140 - (350 + 250) = 540\)
Step 3 :\(\boxed{540}\)