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Finding the Third Proportional to 264.94 and 676.97

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Solution

The third proportional to 264.94 and 676.97 is: 1,729.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.94 : 676.97 = 676.97 : x
  2. Step 2: Convert to fraction form
    264.94/676.97 = 676.97/x
  3. Step 3: Cross multiply
    264.94x = 676.97 × 676.97
  4. Step 4: Simplify right side
    264.94x = 458,286.69
  5. Step 5: Solve for x
    x = 458,286.69/264.94
  6. Step 6: Final answer
    x = 1,729.79

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.