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Finding the Third Proportional to 496.69 and 519.19

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Solution

The third proportional to 496.69 and 519.19 is: 542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.69 : 519.19 = 519.19 : x
  2. Step 2: Convert to fraction form
    496.69/519.19 = 519.19/x
  3. Step 3: Cross multiply
    496.69x = 519.19 × 519.19
  4. Step 4: Simplify right side
    496.69x = 269,555.66
  5. Step 5: Solve for x
    x = 269,555.66/496.69
  6. Step 6: Final answer
    x = 542.71

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Why These Related Problems?

These problems maintain the same ratio (1.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.