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Finding the Third Proportional to 534.52 and 1,241.79

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Solution

The third proportional to 534.52 and 1,241.79 is: 2,884.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.52 : 1,241.79 = 1,241.79 : x
  2. Step 2: Convert to fraction form
    534.52/1,241.79 = 1,241.79/x
  3. Step 3: Cross multiply
    534.52x = 1,241.79 × 1,241.79
  4. Step 4: Simplify right side
    534.52x = 1,542,040.08
  5. Step 5: Solve for x
    x = 1,542,040.08/534.52
  6. Step 6: Final answer
    x = 2,884.93

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.