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Finding the Third Proportional to 424,564 and 576,902

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Solution

The third proportional to 424,564 and 576,902 is: 783,900.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,564 : 576,902 = 576,902 : x
  2. Step 2: Convert to fraction form
    424,564/576,902 = 576,902/x
  3. Step 3: Cross multiply
    424,564x = 576,902 × 576,902
  4. Step 4: Simplify right side
    424,564x = 332,815,917,604
  5. Step 5: Solve for x
    x = 332,815,917,604/424,564
  6. Step 6: Final answer
    x = 783,900.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.