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Finding the Third Proportional to 394,206.75 and 659,380.50

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Solution

The third proportional to 394,206.75 and 659,380.50 is: 1,102,930.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,206.75 : 659,380.50 = 659,380.50 : x
  2. Step 2: Convert to fraction form
    394,206.75/659,380.50 = 659,380.50/x
  3. Step 3: Cross multiply
    394,206.75x = 659,380.50 × 659,380.50
  4. Step 4: Simplify right side
    394,206.75x = 434,782,643,780.25
  5. Step 5: Solve for x
    x = 434,782,643,780.25/394,206.75
  6. Step 6: Final answer
    x = 1,102,930.49

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.