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Finding the Third Proportional to 397.97 and 564.19

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Solution

The third proportional to 397.97 and 564.19 is: 799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.97 : 564.19 = 564.19 : x
  2. Step 2: Convert to fraction form
    397.97/564.19 = 564.19/x
  3. Step 3: Cross multiply
    397.97x = 564.19 × 564.19
  4. Step 4: Simplify right side
    397.97x = 318,307.54
  5. Step 5: Solve for x
    x = 318,307.54/397.97
  6. Step 6: Final answer
    x = 799.83

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.