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Finding the Third Proportional to 361.97 and 544.69

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Solution

The third proportional to 361.97 and 544.69 is: 819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.97 : 544.69 = 544.69 : x
  2. Step 2: Convert to fraction form
    361.97/544.69 = 544.69/x
  3. Step 3: Cross multiply
    361.97x = 544.69 × 544.69
  4. Step 4: Simplify right side
    361.97x = 296,684.47
  5. Step 5: Solve for x
    x = 296,684.47/361.97
  6. Step 6: Final answer
    x = 819.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.