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Finding the Third Proportional to 439,035 and 656,680.50

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Solution

The third proportional to 439,035 and 656,680.50 is: 982,220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,035 : 656,680.50 = 656,680.50 : x
  2. Step 2: Convert to fraction form
    439,035/656,680.50 = 656,680.50/x
  3. Step 3: Cross multiply
    439,035x = 656,680.50 × 656,680.50
  4. Step 4: Simplify right side
    439,035x = 431,229,279,080.25
  5. Step 5: Solve for x
    x = 431,229,279,080.25/439,035
  6. Step 6: Final answer
    x = 982,220.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.