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Finding the Third Proportional to 394,299.50 and 590,781.50

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Solution

The third proportional to 394,299.50 and 590,781.50 is: 885,171.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,299.50 : 590,781.50 = 590,781.50 : x
  2. Step 2: Convert to fraction form
    394,299.50/590,781.50 = 590,781.50/x
  3. Step 3: Cross multiply
    394,299.50x = 590,781.50 × 590,781.50
  4. Step 4: Simplify right side
    394,299.50x = 349,022,780,742.25
  5. Step 5: Solve for x
    x = 349,022,780,742.25/394,299.50
  6. Step 6: Final answer
    x = 885,171.76

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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.