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Finding the Third Proportional to 362.18 and 544.96

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Solution

The third proportional to 362.18 and 544.96 is: 819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.18 : 544.96 = 544.96 : x
  2. Step 2: Convert to fraction form
    362.18/544.96 = 544.96/x
  3. Step 3: Cross multiply
    362.18x = 544.96 × 544.96
  4. Step 4: Simplify right side
    362.18x = 296,978.17
  5. Step 5: Solve for x
    x = 296,978.17/362.18
  6. Step 6: Final answer
    x = 819.97

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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.