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Finding the Third Proportional to 523.69 and 1,212.19

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Solution

The third proportional to 523.69 and 1,212.19 is: 2,805.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.69 : 1,212.19 = 1,212.19 : x
  2. Step 2: Convert to fraction form
    523.69/1,212.19 = 1,212.19/x
  3. Step 3: Cross multiply
    523.69x = 1,212.19 × 1,212.19
  4. Step 4: Simplify right side
    523.69x = 1,469,398.54
  5. Step 5: Solve for x
    x = 1,469,398.54/523.69
  6. Step 6: Final answer
    x = 2,805.87

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.