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Finding the Third Proportional to 682 and 703

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Solution

The third proportional to 682 and 703 is: 724.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    682 : 703 = 703 : x
  2. Step 2: Convert to fraction form
    682/703 = 703/x
  3. Step 3: Cross multiply
    682x = 703 × 703
  4. Step 4: Simplify right side
    682x = 494,209
  5. Step 5: Solve for x
    x = 494,209/682
  6. Step 6: Final answer
    x = 724.65

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.