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Finding the Third Proportional to 227,829.38 and 527,443.31

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Solution

The third proportional to 227,829.38 and 527,443.31 is: 1,221,073.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,829.38 : 527,443.31 = 527,443.31 : x
  2. Step 2: Convert to fraction form
    227,829.38/527,443.31 = 527,443.31/x
  3. Step 3: Cross multiply
    227,829.38x = 527,443.31 × 527,443.31
  4. Step 4: Simplify right side
    227,829.38x = 278,196,447,900.97
  5. Step 5: Solve for x
    x = 278,196,447,900.97/227,829.38
  6. Step 6: Final answer
    x = 1,221,073.66

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.