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Finding the Third Proportional to 187,446 and 404,418

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Solution

The third proportional to 187,446 and 404,418 is: 872,538.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,446 : 404,418 = 404,418 : x
  2. Step 2: Convert to fraction form
    187,446/404,418 = 404,418/x
  3. Step 3: Cross multiply
    187,446x = 404,418 × 404,418
  4. Step 4: Simplify right side
    187,446x = 163,553,918,724
  5. Step 5: Solve for x
    x = 163,553,918,724/187,446
  6. Step 6: Final answer
    x = 872,538.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.