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Finding the Third Proportional to 586 and 849

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Solution

The third proportional to 586 and 849 is: 1,230.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    586 : 849 = 849 : x
  2. Step 2: Convert to fraction form
    586/849 = 849/x
  3. Step 3: Cross multiply
    586x = 849 × 849
  4. Step 4: Simplify right side
    586x = 720,801
  5. Step 5: Solve for x
    x = 720,801/586
  6. Step 6: Final answer
    x = 1,230.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.