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Finding the Third Proportional to 225,046.69 and 488,229.19

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Solution

The third proportional to 225,046.69 and 488,229.19 is: 1,059,192.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,046.69 : 488,229.19 = 488,229.19 : x
  2. Step 2: Convert to fraction form
    225,046.69/488,229.19 = 488,229.19/x
  3. Step 3: Cross multiply
    225,046.69x = 488,229.19 × 488,229.19
  4. Step 4: Simplify right side
    225,046.69x = 238,367,739,526.91
  5. Step 5: Solve for x
    x = 238,367,739,526.91/225,046.69
  6. Step 6: Final answer
    x = 1,059,192.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.