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Finding the Third Proportional to 512.58 and 1,121.26

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Solution

The third proportional to 512.58 and 1,121.26 is: 2,452.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.58 : 1,121.26 = 1,121.26 : x
  2. Step 2: Convert to fraction form
    512.58/1,121.26 = 1,121.26/x
  3. Step 3: Cross multiply
    512.58x = 1,121.26 × 1,121.26
  4. Step 4: Simplify right side
    512.58x = 1,257,234.41
  5. Step 5: Solve for x
    x = 1,257,234.41/512.58
  6. Step 6: Final answer
    x = 2,452.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.