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Finding the Third Proportional to 361.69 and 564.47

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Solution

The third proportional to 361.69 and 564.47 is: 880.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.69 : 564.47 = 564.47 : x
  2. Step 2: Convert to fraction form
    361.69/564.47 = 564.47/x
  3. Step 3: Cross multiply
    361.69x = 564.47 × 564.47
  4. Step 4: Simplify right side
    361.69x = 318,624.97
  5. Step 5: Solve for x
    x = 318,624.97/361.69
  6. Step 6: Final answer
    x = 880.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.