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Finding the Third Proportional to 412,553 and 656,453

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Solution

The third proportional to 412,553 and 656,453 is: 1,044,545.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,553 : 656,453 = 656,453 : x
  2. Step 2: Convert to fraction form
    412,553/656,453 = 656,453/x
  3. Step 3: Cross multiply
    412,553x = 656,453 × 656,453
  4. Step 4: Simplify right side
    412,553x = 430,930,541,209
  5. Step 5: Solve for x
    x = 430,930,541,209/412,553
  6. Step 6: Final answer
    x = 1,044,545.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.