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Finding the Third Proportional to 409 and 634

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Solution

The third proportional to 409 and 634 is: 982.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409 : 634 = 634 : x
  2. Step 2: Convert to fraction form
    409/634 = 634/x
  3. Step 3: Cross multiply
    409x = 634 × 634
  4. Step 4: Simplify right side
    409x = 401,956
  5. Step 5: Solve for x
    x = 401,956/409
  6. Step 6: Final answer
    x = 982.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.