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Finding the Third Proportional to 614,376.56 and 961,660.69

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Solution

The third proportional to 614,376.56 and 961,660.69 is: 1,505,251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,376.56 : 961,660.69 = 961,660.69 : x
  2. Step 2: Convert to fraction form
    614,376.56/961,660.69 = 961,660.69/x
  3. Step 3: Cross multiply
    614,376.56x = 961,660.69 × 961,660.69
  4. Step 4: Simplify right side
    614,376.56x = 924,791,277,882.97
  5. Step 5: Solve for x
    x = 924,791,277,882.97/614,376.56
  6. Step 6: Final answer
    x = 1,505,251.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.