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Finding the Third Proportional to 676.16 and 1,463.70

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Solution

The third proportional to 676.16 and 1,463.70 is: 3,168.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.16 : 1,463.70 = 1,463.70 : x
  2. Step 2: Convert to fraction form
    676.16/1,463.70 = 1,463.70/x
  3. Step 3: Cross multiply
    676.16x = 1,463.70 × 1,463.70
  4. Step 4: Simplify right side
    676.16x = 2,142,403.97
  5. Step 5: Solve for x
    x = 2,142,403.97/676.16
  6. Step 6: Final answer
    x = 3,168.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.