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Finding the Third Proportional to 659 and 747

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Solution

The third proportional to 659 and 747 is: 846.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    659 : 747 = 747 : x
  2. Step 2: Convert to fraction form
    659/747 = 747/x
  3. Step 3: Cross multiply
    659x = 747 × 747
  4. Step 4: Simplify right side
    659x = 558,009
  5. Step 5: Solve for x
    x = 558,009/659
  6. Step 6: Final answer
    x = 846.75

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.