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Finding the Third Proportional to 327,073 and 479,839.50

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Solution

The third proportional to 327,073 and 479,839.50 is: 703,958.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,073 : 479,839.50 = 479,839.50 : x
  2. Step 2: Convert to fraction form
    327,073/479,839.50 = 479,839.50/x
  3. Step 3: Cross multiply
    327,073x = 479,839.50 × 479,839.50
  4. Step 4: Simplify right side
    327,073x = 230,245,945,760.25
  5. Step 5: Solve for x
    x = 230,245,945,760.25/327,073
  6. Step 6: Final answer
    x = 703,958.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.