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Finding the Third Proportional to 534.75 and 1,149.38

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Solution

The third proportional to 534.75 and 1,149.38 is: 2,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.75 : 1,149.38 = 1,149.38 : x
  2. Step 2: Convert to fraction form
    534.75/1,149.38 = 1,149.38/x
  3. Step 3: Cross multiply
    534.75x = 1,149.38 × 1,149.38
  4. Step 4: Simplify right side
    534.75x = 1,321,062.89
  5. Step 5: Solve for x
    x = 1,321,062.89/534.75
  6. Step 6: Final answer
    x = 2,470.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.