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Finding the Third Proportional to 394,232.50 and 617,722.75

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Solution

The third proportional to 394,232.50 and 617,722.75 is: 967,909.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,232.50 : 617,722.75 = 617,722.75 : x
  2. Step 2: Convert to fraction form
    394,232.50/617,722.75 = 617,722.75/x
  3. Step 3: Cross multiply
    394,232.50x = 617,722.75 × 617,722.75
  4. Step 4: Simplify right side
    394,232.50x = 381,581,395,867.56
  5. Step 5: Solve for x
    x = 381,581,395,867.56/394,232.50
  6. Step 6: Final answer
    x = 967,909.54

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.