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Finding the Third Proportional to 396.14 and 908.72

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Solution

The third proportional to 396.14 and 908.72 is: 2,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.14 : 908.72 = 908.72 : x
  2. Step 2: Convert to fraction form
    396.14/908.72 = 908.72/x
  3. Step 3: Cross multiply
    396.14x = 908.72 × 908.72
  4. Step 4: Simplify right side
    396.14x = 825,769.77
  5. Step 5: Solve for x
    x = 825,769.77/396.14
  6. Step 6: Final answer
    x = 2,084.54

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.