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Finding the Third Proportional to 271,930 and 437,782

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Solution

The third proportional to 271,930 and 437,782 is: 704,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,930 : 437,782 = 437,782 : x
  2. Step 2: Convert to fraction form
    271,930/437,782 = 437,782/x
  3. Step 3: Cross multiply
    271,930x = 437,782 × 437,782
  4. Step 4: Simplify right side
    271,930x = 191,653,079,524
  5. Step 5: Solve for x
    x = 191,653,079,524/271,930
  6. Step 6: Final answer
    x = 704,788.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.