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Finding the Third Proportional to 731,920.50 and 1,108,086.75

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Solution

The third proportional to 731,920.50 and 1,108,086.75 is: 1,677,581.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,920.50 : 1,108,086.75 = 1,108,086.75 : x
  2. Step 2: Convert to fraction form
    731,920.50/1,108,086.75 = 1,108,086.75/x
  3. Step 3: Cross multiply
    731,920.50x = 1,108,086.75 × 1,108,086.75
  4. Step 4: Simplify right side
    731,920.50x = 1,227,856,245,525.56
  5. Step 5: Solve for x
    x = 1,227,856,245,525.56/731,920.50
  6. Step 6: Final answer
    x = 1,677,581.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.