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Finding the Third Proportional to 250,417 and 521,569

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Solution

The third proportional to 250,417 and 521,569 is: 1,086,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,417 : 521,569 = 521,569 : x
  2. Step 2: Convert to fraction form
    250,417/521,569 = 521,569/x
  3. Step 3: Cross multiply
    250,417x = 521,569 × 521,569
  4. Step 4: Simplify right side
    250,417x = 272,034,221,761
  5. Step 5: Solve for x
    x = 272,034,221,761/250,417
  6. Step 6: Final answer
    x = 1,086,324.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.