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Finding the Third Proportional to 227,944.13 and 527,649.75

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Solution

The third proportional to 227,944.13 and 527,649.75 is: 1,221,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,944.13 : 527,649.75 = 527,649.75 : x
  2. Step 2: Convert to fraction form
    227,944.13/527,649.75 = 527,649.75/x
  3. Step 3: Cross multiply
    227,944.13x = 527,649.75 × 527,649.75
  4. Step 4: Simplify right side
    227,944.13x = 278,414,258,675.06
  5. Step 5: Solve for x
    x = 278,414,258,675.06/227,944.13
  6. Step 6: Final answer
    x = 1,221,414.50

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.