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Finding the Third Proportional to 271,914 and 413,628

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Solution

The third proportional to 271,914 and 413,628 is: 629,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,914 : 413,628 = 413,628 : x
  2. Step 2: Convert to fraction form
    271,914/413,628 = 413,628/x
  3. Step 3: Cross multiply
    271,914x = 413,628 × 413,628
  4. Step 4: Simplify right side
    271,914x = 171,088,122,384
  5. Step 5: Solve for x
    x = 171,088,122,384/271,914
  6. Step 6: Final answer
    x = 629,199.39

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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.