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Finding the Third Proportional to 271,901 and 413,612

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Solution

The third proportional to 271,901 and 413,612 is: 629,180.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,901 : 413,612 = 413,612 : x
  2. Step 2: Convert to fraction form
    271,901/413,612 = 413,612/x
  3. Step 3: Cross multiply
    271,901x = 413,612 × 413,612
  4. Step 4: Simplify right side
    271,901x = 171,074,886,544
  5. Step 5: Solve for x
    x = 171,074,886,544/271,901
  6. Step 6: Final answer
    x = 629,180.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.