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Finding the Third Proportional to 363.14 and 545.53

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Solution

The third proportional to 363.14 and 545.53 is: 819.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.14 : 545.53 = 545.53 : x
  2. Step 2: Convert to fraction form
    363.14/545.53 = 545.53/x
  3. Step 3: Cross multiply
    363.14x = 545.53 × 545.53
  4. Step 4: Simplify right side
    363.14x = 297,604.34
  5. Step 5: Solve for x
    x = 297,604.34/363.14
  6. Step 6: Final answer
    x = 819.53

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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.