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Finding the Third Proportional to 327.73 and 451.02

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Solution

The third proportional to 327.73 and 451.02 is: 620.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.73 : 451.02 = 451.02 : x
  2. Step 2: Convert to fraction form
    327.73/451.02 = 451.02/x
  3. Step 3: Cross multiply
    327.73x = 451.02 × 451.02
  4. Step 4: Simplify right side
    327.73x = 203,418.62
  5. Step 5: Solve for x
    x = 203,418.62/327.73
  6. Step 6: Final answer
    x = 620.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.