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Finding the Third Proportional to 516,408,336 and 776,125,976

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Solution

The third proportional to 516,408,336 and 776,125,976 is: 1,166,463,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,408,336 : 776,125,976 = 776,125,976 : x
  2. Step 2: Convert to fraction form
    516,408,336/776,125,976 = 776,125,976/x
  3. Step 3: Cross multiply
    516,408,336x = 776,125,976 × 776,125,976
  4. Step 4: Simplify right side
    516,408,336x = 602,371,530,621,952,512
  5. Step 5: Solve for x
    x = 602,371,530,621,952,512/516,408,336
  6. Step 6: Final answer
    x = 1,166,463,607.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.