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Finding the Third Proportional to 396,033.50 and 813,061.50

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Solution

The third proportional to 396,033.50 and 813,061.50 is: 1,669,224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,033.50 : 813,061.50 = 813,061.50 : x
  2. Step 2: Convert to fraction form
    396,033.50/813,061.50 = 813,061.50/x
  3. Step 3: Cross multiply
    396,033.50x = 813,061.50 × 813,061.50
  4. Step 4: Simplify right side
    396,033.50x = 661,069,002,782.25
  5. Step 5: Solve for x
    x = 661,069,002,782.25/396,033.50
  6. Step 6: Final answer
    x = 1,669,224.96

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.