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Finding the Third Proportional to 327 and 701.25

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Solution

The third proportional to 327 and 701.25 is: 1,503.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    327 : 701.25 = 701.25 : x
  2. Step 2: Convert to fraction form
    327/701.25 = 701.25/x
  3. Step 3: Cross multiply
    327x = 701.25 × 701.25
  4. Step 4: Simplify right side
    327x = 491,751.56
  5. Step 5: Solve for x
    x = 491,751.56/327
  6. Step 6: Final answer
    x = 1,503.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.