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Finding the Third Proportional to 659 and 735

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Solution

The third proportional to 659 and 735 is: 819.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    659 : 735 = 735 : x
  2. Step 2: Convert to fraction form
    659/735 = 735/x
  3. Step 3: Cross multiply
    659x = 735 × 735
  4. Step 4: Simplify right side
    659x = 540,225
  5. Step 5: Solve for x
    x = 540,225/659
  6. Step 6: Final answer
    x = 819.76

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.