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Finding the Third Proportional to 271,890 and 413,595

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Solution

The third proportional to 271,890 and 413,595 is: 629,154.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,890 : 413,595 = 413,595 : x
  2. Step 2: Convert to fraction form
    271,890/413,595 = 413,595/x
  3. Step 3: Cross multiply
    271,890x = 413,595 × 413,595
  4. Step 4: Simplify right side
    271,890x = 171,060,824,025
  5. Step 5: Solve for x
    x = 171,060,824,025/271,890
  6. Step 6: Final answer
    x = 629,154.53

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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.