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Finding the Third Proportional to 271,876 and 414,974

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Solution

The third proportional to 271,876 and 414,974 is: 633,389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,876 : 414,974 = 414,974 : x
  2. Step 2: Convert to fraction form
    271,876/414,974 = 414,974/x
  3. Step 3: Cross multiply
    271,876x = 414,974 × 414,974
  4. Step 4: Simplify right side
    271,876x = 172,203,420,676
  5. Step 5: Solve for x
    x = 172,203,420,676/271,876
  6. Step 6: Final answer
    x = 633,389.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.