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Finding the Third Proportional to 676.97 and 1,737.84

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Solution

The third proportional to 676.97 and 1,737.84 is: 4,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.97 : 1,737.84 = 1,737.84 : x
  2. Step 2: Convert to fraction form
    676.97/1,737.84 = 1,737.84/x
  3. Step 3: Cross multiply
    676.97x = 1,737.84 × 1,737.84
  4. Step 4: Simplify right side
    676.97x = 3,020,100.90
  5. Step 5: Solve for x
    x = 3,020,100.90/676.97
  6. Step 6: Final answer
    x = 4,461.21

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.