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Finding the Third Proportional to 394,297.50 and 861,567

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Solution

The third proportional to 394,297.50 and 861,567 is: 1,882,582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,297.50 : 861,567 = 861,567 : x
  2. Step 2: Convert to fraction form
    394,297.50/861,567 = 861,567/x
  3. Step 3: Cross multiply
    394,297.50x = 861,567 × 861,567
  4. Step 4: Simplify right side
    394,297.50x = 742,297,695,489
  5. Step 5: Solve for x
    x = 742,297,695,489/394,297.50
  6. Step 6: Final answer
    x = 1,882,582.81

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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.