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Finding the Third Proportional to 450 and 698

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Solution

The third proportional to 450 and 698 is: 1,082.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    450 : 698 = 698 : x
  2. Step 2: Convert to fraction form
    450/698 = 698/x
  3. Step 3: Cross multiply
    450x = 698 × 698
  4. Step 4: Simplify right side
    450x = 487,204
  5. Step 5: Solve for x
    x = 487,204/450
  6. Step 6: Final answer
    x = 1,082.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.