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Finding the Third Proportional to 511.31 and 1,108.69

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Solution

The third proportional to 511.31 and 1,108.69 is: 2,403.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.31 : 1,108.69 = 1,108.69 : x
  2. Step 2: Convert to fraction form
    511.31/1,108.69 = 1,108.69/x
  3. Step 3: Cross multiply
    511.31x = 1,108.69 × 1,108.69
  4. Step 4: Simplify right side
    511.31x = 1,229,187.97
  5. Step 5: Solve for x
    x = 1,229,187.97/511.31
  6. Step 6: Final answer
    x = 2,403.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.