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Finding the Third Proportional to 332,267 and 501,857

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Solution

The third proportional to 332,267 and 501,857 is: 758,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,267 : 501,857 = 501,857 : x
  2. Step 2: Convert to fraction form
    332,267/501,857 = 501,857/x
  3. Step 3: Cross multiply
    332,267x = 501,857 × 501,857
  4. Step 4: Simplify right side
    332,267x = 251,860,448,449
  5. Step 5: Solve for x
    x = 251,860,448,449/332,267
  6. Step 6: Final answer
    x = 758,006.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.