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Finding the Third Proportional to 271,878 and 413,577

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Solution

The third proportional to 271,878 and 413,577 is: 629,127.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,878 : 413,577 = 413,577 : x
  2. Step 2: Convert to fraction form
    271,878/413,577 = 413,577/x
  3. Step 3: Cross multiply
    271,878x = 413,577 × 413,577
  4. Step 4: Simplify right side
    271,878x = 171,045,934,929
  5. Step 5: Solve for x
    x = 171,045,934,929/271,878
  6. Step 6: Final answer
    x = 629,127.53

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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.