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Finding the Third Proportional to 676.55 and 1,330.45

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Solution

The third proportional to 676.55 and 1,330.45 is: 2,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.55 : 1,330.45 = 1,330.45 : x
  2. Step 2: Convert to fraction form
    676.55/1,330.45 = 1,330.45/x
  3. Step 3: Cross multiply
    676.55x = 1,330.45 × 1,330.45
  4. Step 4: Simplify right side
    676.55x = 1,770,105.52
  5. Step 5: Solve for x
    x = 1,770,105.52/676.55
  6. Step 6: Final answer
    x = 2,616.38

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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.