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Finding the Third Proportional to 396.75 and 606.56

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Solution

The third proportional to 396.75 and 606.56 is: 927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.75 : 606.56 = 606.56 : x
  2. Step 2: Convert to fraction form
    396.75/606.56 = 606.56/x
  3. Step 3: Cross multiply
    396.75x = 606.56 × 606.56
  4. Step 4: Simplify right side
    396.75x = 367,918.07
  5. Step 5: Solve for x
    x = 367,918.07/396.75
  6. Step 6: Final answer
    x = 927.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.