Three-port latching valves have a housing with a first port, a second port, and a third port in controlled fluid communication with one another by three, individually electronically controllable magnetically latching valves for a combination of five different flow options. Each valve has a solenoid with an armature movable between an open position and a closed position, a poppet valve connected to the armature, a permanent magnet fixedly seated at a position for magnetically latching the armature in the open position, and a spring positioned to bias the poppet valve closed when the armature is in the closed position. The spring has a pre-selected spring rate that mechanically relieves pressure if the spring rate is exceeded. The armature is movable to the open position after a pulse of voltage to the solenoid and is in an unpowered state after translation to either of the open position or the closed position.