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Finding the Third Proportional to 275,248.13 and 402,251.06

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Solution

The third proportional to 275,248.13 and 402,251.06 is: 587,854.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,248.13 : 402,251.06 = 402,251.06 : x
  2. Step 2: Convert to fraction form
    275,248.13/402,251.06 = 402,251.06/x
  3. Step 3: Cross multiply
    275,248.13x = 402,251.06 × 402,251.06
  4. Step 4: Simplify right side
    275,248.13x = 161,805,917,282.38
  5. Step 5: Solve for x
    x = 161,805,917,282.38/275,248.13
  6. Step 6: Final answer
    x = 587,854.75

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.