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Finding the Third Proportional to 502,024 and 764,792

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Solution

The third proportional to 502,024 and 764,792 is: 1,165,097.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,024 : 764,792 = 764,792 : x
  2. Step 2: Convert to fraction form
    502,024/764,792 = 764,792/x
  3. Step 3: Cross multiply
    502,024x = 764,792 × 764,792
  4. Step 4: Simplify right side
    502,024x = 584,906,803,264
  5. Step 5: Solve for x
    x = 584,906,803,264/502,024
  6. Step 6: Final answer
    x = 1,165,097.29

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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.