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Finding the Third Proportional to 591 and 636

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Solution

The third proportional to 591 and 636 is: 684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    591 : 636 = 636 : x
  2. Step 2: Convert to fraction form
    591/636 = 636/x
  3. Step 3: Cross multiply
    591x = 636 × 636
  4. Step 4: Simplify right side
    591x = 404,496
  5. Step 5: Solve for x
    x = 404,496/591
  6. Step 6: Final answer
    x = 684.43

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.