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Finding the Third Proportional to 363,233.50 and 791,861.50

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Solution

The third proportional to 363,233.50 and 791,861.50 is: 1,726,285.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,233.50 : 791,861.50 = 791,861.50 : x
  2. Step 2: Convert to fraction form
    363,233.50/791,861.50 = 791,861.50/x
  3. Step 3: Cross multiply
    363,233.50x = 791,861.50 × 791,861.50
  4. Step 4: Simplify right side
    363,233.50x = 627,044,635,182.25
  5. Step 5: Solve for x
    x = 627,044,635,182.25/363,233.50
  6. Step 6: Final answer
    x = 1,726,285.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.