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Finding the Third Proportional to 222,300.75 and 467,832.75

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Solution

The third proportional to 222,300.75 and 467,832.75 is: 984,555.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,300.75 : 467,832.75 = 467,832.75 : x
  2. Step 2: Convert to fraction form
    222,300.75/467,832.75 = 467,832.75/x
  3. Step 3: Cross multiply
    222,300.75x = 467,832.75 × 467,832.75
  4. Step 4: Simplify right side
    222,300.75x = 218,867,481,972.56
  5. Step 5: Solve for x
    x = 218,867,481,972.56/222,300.75
  6. Step 6: Final answer
    x = 984,555.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.