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Finding the Third Proportional to 524.25 and 1,142.44

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Solution

The third proportional to 524.25 and 1,142.44 is: 2,489.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.25 : 1,142.44 = 1,142.44 : x
  2. Step 2: Convert to fraction form
    524.25/1,142.44 = 1,142.44/x
  3. Step 3: Cross multiply
    524.25x = 1,142.44 × 1,142.44
  4. Step 4: Simplify right side
    524.25x = 1,305,163.44
  5. Step 5: Solve for x
    x = 1,305,163.44/524.25
  6. Step 6: Final answer
    x = 2,489.58

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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.