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Finding the Third Proportional to 676.31 and 1,332.56

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Solution

The third proportional to 676.31 and 1,332.56 is: 2,625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.31 : 1,332.56 = 1,332.56 : x
  2. Step 2: Convert to fraction form
    676.31/1,332.56 = 1,332.56/x
  3. Step 3: Cross multiply
    676.31x = 1,332.56 × 1,332.56
  4. Step 4: Simplify right side
    676.31x = 1,775,722.82
  5. Step 5: Solve for x
    x = 1,775,722.82/676.31
  6. Step 6: Final answer
    x = 2,625.60

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.