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Finding the Third Proportional to 641 and 659

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Solution

The third proportional to 641 and 659 is: 677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    641 : 659 = 659 : x
  2. Step 2: Convert to fraction form
    641/659 = 659/x
  3. Step 3: Cross multiply
    641x = 659 × 659
  4. Step 4: Simplify right side
    641x = 434,281
  5. Step 5: Solve for x
    x = 434,281/641
  6. Step 6: Final answer
    x = 677.51

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.