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Finding the Third Proportional to 692 and 1,720

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Solution

The third proportional to 692 and 1,720 is: 4,275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    692 : 1,720 = 1,720 : x
  2. Step 2: Convert to fraction form
    692/1,720 = 1,720/x
  3. Step 3: Cross multiply
    692x = 1,720 × 1,720
  4. Step 4: Simplify right side
    692x = 2,958,400
  5. Step 5: Solve for x
    x = 2,958,400/692
  6. Step 6: Final answer
    x = 4,275.14

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These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.