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Finding the Third Proportional to 271,296 and 415,008

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Solution

The third proportional to 271,296 and 415,008 is: 634,847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,296 : 415,008 = 415,008 : x
  2. Step 2: Convert to fraction form
    271,296/415,008 = 415,008/x
  3. Step 3: Cross multiply
    271,296x = 415,008 × 415,008
  4. Step 4: Simplify right side
    271,296x = 172,231,640,064
  5. Step 5: Solve for x
    x = 172,231,640,064/271,296
  6. Step 6: Final answer
    x = 634,847.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.