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Finding the Third Proportional to 515,957 and 781,727

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Solution

The third proportional to 515,957 and 781,727 is: 1,184,395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,957 : 781,727 = 781,727 : x
  2. Step 2: Convert to fraction form
    515,957/781,727 = 781,727/x
  3. Step 3: Cross multiply
    515,957x = 781,727 × 781,727
  4. Step 4: Simplify right side
    515,957x = 611,097,102,529
  5. Step 5: Solve for x
    x = 611,097,102,529/515,957
  6. Step 6: Final answer
    x = 1,184,395.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.