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Finding the Third Proportional to 396.50 and 861.25

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Solution

The third proportional to 396.50 and 861.25 is: 1,870.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.50 : 861.25 = 861.25 : x
  2. Step 2: Convert to fraction form
    396.50/861.25 = 861.25/x
  3. Step 3: Cross multiply
    396.50x = 861.25 × 861.25
  4. Step 4: Simplify right side
    396.50x = 741,751.56
  5. Step 5: Solve for x
    x = 741,751.56/396.50
  6. Step 6: Final answer
    x = 1,870.75

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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.