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Finding the Third Proportional to 502,092 and 764,898

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Solution

The third proportional to 502,092 and 764,898 is: 1,165,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,092 : 764,898 = 764,898 : x
  2. Step 2: Convert to fraction form
    502,092/764,898 = 764,898/x
  3. Step 3: Cross multiply
    502,092x = 764,898 × 764,898
  4. Step 4: Simplify right side
    502,092x = 585,068,950,404
  5. Step 5: Solve for x
    x = 585,068,950,404/502,092
  6. Step 6: Final answer
    x = 1,165,262.44

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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.