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Finding the Third Proportional to 523.55 and 1,114.17

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Solution

The third proportional to 523.55 and 1,114.17 is: 2,371.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.55 : 1,114.17 = 1,114.17 : x
  2. Step 2: Convert to fraction form
    523.55/1,114.17 = 1,114.17/x
  3. Step 3: Cross multiply
    523.55x = 1,114.17 × 1,114.17
  4. Step 4: Simplify right side
    523.55x = 1,241,378.97
  5. Step 5: Solve for x
    x = 1,241,378.97/523.55
  6. Step 6: Final answer
    x = 2,371.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.