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Finding the Third Proportional to 647 and 703

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Solution

The third proportional to 647 and 703 is: 763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    647 : 703 = 703 : x
  2. Step 2: Convert to fraction form
    647/703 = 703/x
  3. Step 3: Cross multiply
    647x = 703 × 703
  4. Step 4: Simplify right side
    647x = 494,209
  5. Step 5: Solve for x
    x = 494,209/647
  6. Step 6: Final answer
    x = 763.85

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.