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Finding the Third Proportional to 222,301 and 467,832

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Solution

The third proportional to 222,301 and 467,832 is: 984,551.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,301 : 467,832 = 467,832 : x
  2. Step 2: Convert to fraction form
    222,301/467,832 = 467,832/x
  3. Step 3: Cross multiply
    222,301x = 467,832 × 467,832
  4. Step 4: Simplify right side
    222,301x = 218,866,780,224
  5. Step 5: Solve for x
    x = 218,866,780,224/222,301
  6. Step 6: Final answer
    x = 984,551.49

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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.