On the way from a planet to a moon, astronauts reach a point where that moon’s gravitational pull transitions from being weaker than that of the planet to being stronger than that of the planet. The masses of the planet and the moon are, respectively, 5.93 × 1024 kg and 7.36×1022 kg. The distance from the center of the planet to the center of the moon is 3.45 × 108 m. Determine the distance of this point from the center of the planet. The value of the universal gravitational constant is 6.67259×10−11 N·m2/kg2.

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