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Finding the Third Proportional to 664,251.75 and 1,031,371.88

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Solution

The third proportional to 664,251.75 and 1,031,371.88 is: 1,601,392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,251.75 : 1,031,371.88 = 1,031,371.88 : x
  2. Step 2: Convert to fraction form
    664,251.75/1,031,371.88 = 1,031,371.88/x
  3. Step 3: Cross multiply
    664,251.75x = 1,031,371.88 × 1,031,371.88
  4. Step 4: Simplify right side
    664,251.75x = 1,063,727,944,541.02
  5. Step 5: Solve for x
    x = 1,063,727,944,541.02/664,251.75
  6. Step 6: Final answer
    x = 1,601,392.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.