Two Carnot engines, X and Y, are operating in series. The engine X receives heat at \(1200\ \text{K}\) and rejects to a reservoir at a temperature \(T\). The second engine, Y, receives the heat rejected by X and, in turn, rejects to a heat reservoir at \(300\ \text{K}\). What is the temperature \(T\) (in Kelvin) for the situation when the efficiency of the engines is the same?