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Finding the Third Proportional to 517.22 and 1,111.78

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Solution

The third proportional to 517.22 and 1,111.78 is: 2,389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.22 : 1,111.78 = 1,111.78 : x
  2. Step 2: Convert to fraction form
    517.22/1,111.78 = 1,111.78/x
  3. Step 3: Cross multiply
    517.22x = 1,111.78 × 1,111.78
  4. Step 4: Simplify right side
    517.22x = 1,236,057.55
  5. Step 5: Solve for x
    x = 1,236,057.55/517.22
  6. Step 6: Final answer
    x = 2,389.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.