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Finding the Third Proportional to 338,725.13 and 464,469.19

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Solution

The third proportional to 338,725.13 and 464,469.19 is: 636,892.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,725.13 : 464,469.19 = 464,469.19 : x
  2. Step 2: Convert to fraction form
    338,725.13/464,469.19 = 464,469.19/x
  3. Step 3: Cross multiply
    338,725.13x = 464,469.19 × 464,469.19
  4. Step 4: Simplify right side
    338,725.13x = 215,731,626,136.91
  5. Step 5: Solve for x
    x = 215,731,626,136.91/338,725.13
  6. Step 6: Final answer
    x = 636,892.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.