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Finding the Third Proportional to 419,481 and 629,267

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Solution

The third proportional to 419,481 and 629,267 is: 943,968.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,481 : 629,267 = 629,267 : x
  2. Step 2: Convert to fraction form
    419,481/629,267 = 629,267/x
  3. Step 3: Cross multiply
    419,481x = 629,267 × 629,267
  4. Step 4: Simplify right side
    419,481x = 395,976,957,289
  5. Step 5: Solve for x
    x = 395,976,957,289/419,481
  6. Step 6: Final answer
    x = 943,968.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.