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Finding the Third Proportional to 394,201.75 and 864,704.75

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Solution

The third proportional to 394,201.75 and 864,704.75 is: 1,896,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,201.75 : 864,704.75 = 864,704.75 : x
  2. Step 2: Convert to fraction form
    394,201.75/864,704.75 = 864,704.75/x
  3. Step 3: Cross multiply
    394,201.75x = 864,704.75 × 864,704.75
  4. Step 4: Simplify right side
    394,201.75x = 747,714,304,672.56
  5. Step 5: Solve for x
    x = 747,714,304,672.56/394,201.75
  6. Step 6: Final answer
    x = 1,896,780.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.