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Finding the Third Proportional to 716.66 and 1,082.11

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Solution

The third proportional to 716.66 and 1,082.11 is: 1,633.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.66 : 1,082.11 = 1,082.11 : x
  2. Step 2: Convert to fraction form
    716.66/1,082.11 = 1,082.11/x
  3. Step 3: Cross multiply
    716.66x = 1,082.11 × 1,082.11
  4. Step 4: Simplify right side
    716.66x = 1,170,960.70
  5. Step 5: Solve for x
    x = 1,170,960.70/716.66
  6. Step 6: Final answer
    x = 1,633.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.