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Finding the Third Proportional to 327.16 and 481.57

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Solution

The third proportional to 327.16 and 481.57 is: 708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.16 : 481.57 = 481.57 : x
  2. Step 2: Convert to fraction form
    327.16/481.57 = 481.57/x
  3. Step 3: Cross multiply
    327.16x = 481.57 × 481.57
  4. Step 4: Simplify right side
    327.16x = 231,909.97
  5. Step 5: Solve for x
    x = 231,909.97/327.16
  6. Step 6: Final answer
    x = 708.85

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Why These Related Problems?

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