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Finding the Third Proportional to 397 and 862.25

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Solution

The third proportional to 397 and 862.25 is: 1,872.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    397 : 862.25 = 862.25 : x
  2. Step 2: Convert to fraction form
    397/862.25 = 862.25/x
  3. Step 3: Cross multiply
    397x = 862.25 × 862.25
  4. Step 4: Simplify right side
    397x = 743,475.06
  5. Step 5: Solve for x
    x = 743,475.06/397
  6. Step 6: Final answer
    x = 1,872.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.