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Finding the Third Proportional to 664,681.50 and 1,031,163.75

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Solution

The third proportional to 664,681.50 and 1,031,163.75 is: 1,599,711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,681.50 : 1,031,163.75 = 1,031,163.75 : x
  2. Step 2: Convert to fraction form
    664,681.50/1,031,163.75 = 1,031,163.75/x
  3. Step 3: Cross multiply
    664,681.50x = 1,031,163.75 × 1,031,163.75
  4. Step 4: Simplify right side
    664,681.50x = 1,063,298,679,314.06
  5. Step 5: Solve for x
    x = 1,063,298,679,314.06/664,681.50
  6. Step 6: Final answer
    x = 1,599,711.56

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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.