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Finding the Third Proportional to 497.39 and 1,082.11

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Solution

The third proportional to 497.39 and 1,082.11 is: 2,354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.39 : 1,082.11 = 1,082.11 : x
  2. Step 2: Convert to fraction form
    497.39/1,082.11 = 1,082.11/x
  3. Step 3: Cross multiply
    497.39x = 1,082.11 × 1,082.11
  4. Step 4: Simplify right side
    497.39x = 1,170,960.70
  5. Step 5: Solve for x
    x = 1,170,960.70/497.39
  6. Step 6: Final answer
    x = 2,354.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.