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Finding the Third Proportional to 827.44 and 1,452.38

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Solution

The third proportional to 827.44 and 1,452.38 is: 2,549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.44 : 1,452.38 = 1,452.38 : x
  2. Step 2: Convert to fraction form
    827.44/1,452.38 = 1,452.38/x
  3. Step 3: Cross multiply
    827.44x = 1,452.38 × 1,452.38
  4. Step 4: Simplify right side
    827.44x = 2,109,393.14
  5. Step 5: Solve for x
    x = 2,109,393.14/827.44
  6. Step 6: Final answer
    x = 2,549.31

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.