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Finding the Third Proportional to 363.38 and 543.69

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Solution

The third proportional to 363.38 and 543.69 is: 813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.38 : 543.69 = 543.69 : x
  2. Step 2: Convert to fraction form
    363.38/543.69 = 543.69/x
  3. Step 3: Cross multiply
    363.38x = 543.69 × 543.69
  4. Step 4: Simplify right side
    363.38x = 295,596.10
  5. Step 5: Solve for x
    x = 295,596.10/363.38
  6. Step 6: Final answer
    x = 813.47

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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.