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Finding the Third Proportional to 223,625 and 486,616

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Solution

The third proportional to 223,625 and 486,616 is: 1,058,893.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,625 : 486,616 = 486,616 : x
  2. Step 2: Convert to fraction form
    223,625/486,616 = 486,616/x
  3. Step 3: Cross multiply
    223,625x = 486,616 × 486,616
  4. Step 4: Simplify right side
    223,625x = 236,795,131,456
  5. Step 5: Solve for x
    x = 236,795,131,456/223,625
  6. Step 6: Final answer
    x = 1,058,893.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.