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Finding the Third Proportional to 262,446 and 629,871

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Solution

The third proportional to 262,446 and 629,871 is: 1,511,691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,446 : 629,871 = 629,871 : x
  2. Step 2: Convert to fraction form
    262,446/629,871 = 629,871/x
  3. Step 3: Cross multiply
    262,446x = 629,871 × 629,871
  4. Step 4: Simplify right side
    262,446x = 396,737,476,641
  5. Step 5: Solve for x
    x = 396,737,476,641/262,446
  6. Step 6: Final answer
    x = 1,511,691.84

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.