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Finding the Third Proportional to 396.56 and 584.44

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Solution

The third proportional to 396.56 and 584.44 is: 861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.56 : 584.44 = 584.44 : x
  2. Step 2: Convert to fraction form
    396.56/584.44 = 584.44/x
  3. Step 3: Cross multiply
    396.56x = 584.44 × 584.44
  4. Step 4: Simplify right side
    396.56x = 341,567.19
  5. Step 5: Solve for x
    x = 341,567.19/396.56
  6. Step 6: Final answer
    x = 861.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.