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Finding the Third Proportional to 515,951 and 781,716

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Solution

The third proportional to 515,951 and 781,716 is: 1,184,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,951 : 781,716 = 781,716 : x
  2. Step 2: Convert to fraction form
    515,951/781,716 = 781,716/x
  3. Step 3: Cross multiply
    515,951x = 781,716 × 781,716
  4. Step 4: Simplify right side
    515,951x = 611,079,904,656
  5. Step 5: Solve for x
    x = 611,079,904,656/515,951
  6. Step 6: Final answer
    x = 1,184,375.85

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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.