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Finding the Third Proportional to 271,900 and 413,844

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Solution

The third proportional to 271,900 and 413,844 is: 629,889.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,900 : 413,844 = 413,844 : x
  2. Step 2: Convert to fraction form
    271,900/413,844 = 413,844/x
  3. Step 3: Cross multiply
    271,900x = 413,844 × 413,844
  4. Step 4: Simplify right side
    271,900x = 171,266,856,336
  5. Step 5: Solve for x
    x = 171,266,856,336/271,900
  6. Step 6: Final answer
    x = 629,889.14

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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.