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Finding the Third Proportional to 204,531 and 441,730

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Solution

The third proportional to 204,531 and 441,730 is: 954,013.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,531 : 441,730 = 441,730 : x
  2. Step 2: Convert to fraction form
    204,531/441,730 = 441,730/x
  3. Step 3: Cross multiply
    204,531x = 441,730 × 441,730
  4. Step 4: Simplify right side
    204,531x = 195,125,392,900
  5. Step 5: Solve for x
    x = 195,125,392,900/204,531
  6. Step 6: Final answer
    x = 954,013.78

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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.