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Finding the Third Proportional to 239,764 and 486,616

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Solution

The third proportional to 239,764 and 486,616 is: 987,617.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,764 : 486,616 = 486,616 : x
  2. Step 2: Convert to fraction form
    239,764/486,616 = 486,616/x
  3. Step 3: Cross multiply
    239,764x = 486,616 × 486,616
  4. Step 4: Simplify right side
    239,764x = 236,795,131,456
  5. Step 5: Solve for x
    x = 236,795,131,456/239,764
  6. Step 6: Final answer
    x = 987,617.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.