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Finding the Third Proportional to 327,857.50 and 442,932

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Solution

The third proportional to 327,857.50 and 442,932 is: 598,396.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,857.50 : 442,932 = 442,932 : x
  2. Step 2: Convert to fraction form
    327,857.50/442,932 = 442,932/x
  3. Step 3: Cross multiply
    327,857.50x = 442,932 × 442,932
  4. Step 4: Simplify right side
    327,857.50x = 196,188,756,624
  5. Step 5: Solve for x
    x = 196,188,756,624/327,857.50
  6. Step 6: Final answer
    x = 598,396.43

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.