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Finding the Third Proportional to 493 and 849

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Solution

The third proportional to 493 and 849 is: 1,462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    493 : 849 = 849 : x
  2. Step 2: Convert to fraction form
    493/849 = 849/x
  3. Step 3: Cross multiply
    493x = 849 × 849
  4. Step 4: Simplify right side
    493x = 720,801
  5. Step 5: Solve for x
    x = 720,801/493
  6. Step 6: Final answer
    x = 1,462.07

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These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.