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Finding the Third Proportional to 676.41 and 1,027.27

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Solution

The third proportional to 676.41 and 1,027.27 is: 1,560.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.41 : 1,027.27 = 1,027.27 : x
  2. Step 2: Convert to fraction form
    676.41/1,027.27 = 1,027.27/x
  3. Step 3: Cross multiply
    676.41x = 1,027.27 × 1,027.27
  4. Step 4: Simplify right side
    676.41x = 1,055,274.66
  5. Step 5: Solve for x
    x = 1,055,274.66/676.41
  6. Step 6: Final answer
    x = 1,560.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.