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Finding the Third Proportional to 256,989.38 and 552,251.25

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Solution

The third proportional to 256,989.38 and 552,251.25 is: 1,186,747.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,989.38 : 552,251.25 = 552,251.25 : x
  2. Step 2: Convert to fraction form
    256,989.38/552,251.25 = 552,251.25/x
  3. Step 3: Cross multiply
    256,989.38x = 552,251.25 × 552,251.25
  4. Step 4: Simplify right side
    256,989.38x = 304,981,443,126.56
  5. Step 5: Solve for x
    x = 304,981,443,126.56/256,989.38
  6. Step 6: Final answer
    x = 1,186,747.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.