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Finding the Third Proportional to 775.13 and 1,198.55

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Solution

The third proportional to 775.13 and 1,198.55 is: 1,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.13 : 1,198.55 = 1,198.55 : x
  2. Step 2: Convert to fraction form
    775.13/1,198.55 = 1,198.55/x
  3. Step 3: Cross multiply
    775.13x = 1,198.55 × 1,198.55
  4. Step 4: Simplify right side
    775.13x = 1,436,514.61
  5. Step 5: Solve for x
    x = 1,436,514.61/775.13
  6. Step 6: Final answer
    x = 1,853.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.