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Finding the Third Proportional to 519.56 and 1,111.41

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Solution

The third proportional to 519.56 and 1,111.41 is: 2,377.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.56 : 1,111.41 = 1,111.41 : x
  2. Step 2: Convert to fraction form
    519.56/1,111.41 = 1,111.41/x
  3. Step 3: Cross multiply
    519.56x = 1,111.41 × 1,111.41
  4. Step 4: Simplify right side
    519.56x = 1,235,223.85
  5. Step 5: Solve for x
    x = 1,235,223.85/519.56
  6. Step 6: Final answer
    x = 2,377.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.