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Finding the Third Proportional to 271,848 and 413,766

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Solution

The third proportional to 271,848 and 413,766 is: 629,772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,848 : 413,766 = 413,766 : x
  2. Step 2: Convert to fraction form
    271,848/413,766 = 413,766/x
  3. Step 3: Cross multiply
    271,848x = 413,766 × 413,766
  4. Step 4: Simplify right side
    271,848x = 171,202,302,756
  5. Step 5: Solve for x
    x = 171,202,302,756/271,848
  6. Step 6: Final answer
    x = 629,772.16

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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.