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Finding the Third Proportional to 394,421.50 and 863,474

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Solution

The third proportional to 394,421.50 and 863,474 is: 1,890,331.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,421.50 : 863,474 = 863,474 : x
  2. Step 2: Convert to fraction form
    394,421.50/863,474 = 863,474/x
  3. Step 3: Cross multiply
    394,421.50x = 863,474 × 863,474
  4. Step 4: Simplify right side
    394,421.50x = 745,587,348,676
  5. Step 5: Solve for x
    x = 745,587,348,676/394,421.50
  6. Step 6: Final answer
    x = 1,890,331.41

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Why These Related Problems?

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