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Finding the Third Proportional to 361.55 and 562.92

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Solution

The third proportional to 361.55 and 562.92 is: 876.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.55 : 562.92 = 562.92 : x
  2. Step 2: Convert to fraction form
    361.55/562.92 = 562.92/x
  3. Step 3: Cross multiply
    361.55x = 562.92 × 562.92
  4. Step 4: Simplify right side
    361.55x = 316,881.04
  5. Step 5: Solve for x
    x = 316,881.04/361.55
  6. Step 6: Final answer
    x = 876.46

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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.