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Finding the Third Proportional to 502,017 and 764,791

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Solution

The third proportional to 502,017 and 764,791 is: 1,165,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,017 : 764,791 = 764,791 : x
  2. Step 2: Convert to fraction form
    502,017/764,791 = 764,791/x
  3. Step 3: Cross multiply
    502,017x = 764,791 × 764,791
  4. Step 4: Simplify right side
    502,017x = 584,905,273,681
  5. Step 5: Solve for x
    x = 584,905,273,681/502,017
  6. Step 6: Final answer
    x = 1,165,110.49

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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.