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Finding the Third Proportional to 550.13 and 1,198.97

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Solution

The third proportional to 550.13 and 1,198.97 is: 2,613.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.13 : 1,198.97 = 1,198.97 : x
  2. Step 2: Convert to fraction form
    550.13/1,198.97 = 1,198.97/x
  3. Step 3: Cross multiply
    550.13x = 1,198.97 × 1,198.97
  4. Step 4: Simplify right side
    550.13x = 1,437,526.06
  5. Step 5: Solve for x
    x = 1,437,526.06/550.13
  6. Step 6: Final answer
    x = 2,613.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.