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Finding the Third Proportional to 396.94 and 559.78

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Solution

The third proportional to 396.94 and 559.78 is: 789.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.94 : 559.78 = 559.78 : x
  2. Step 2: Convert to fraction form
    396.94/559.78 = 559.78/x
  3. Step 3: Cross multiply
    396.94x = 559.78 × 559.78
  4. Step 4: Simplify right side
    396.94x = 313,355.05
  5. Step 5: Solve for x
    x = 313,355.05/396.94
  6. Step 6: Final answer
    x = 789.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.