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Finding the Third Proportional to 239,901.75 and 516,709.13

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Solution

The third proportional to 239,901.75 and 516,709.13 is: 1,112,906.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,901.75 : 516,709.13 = 516,709.13 : x
  2. Step 2: Convert to fraction form
    239,901.75/516,709.13 = 516,709.13/x
  3. Step 3: Cross multiply
    239,901.75x = 516,709.13 × 516,709.13
  4. Step 4: Simplify right side
    239,901.75x = 266,988,319,858.27
  5. Step 5: Solve for x
    x = 266,988,319,858.27/239,901.75
  6. Step 6: Final answer
    x = 1,112,906.93

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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.