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Finding the Third Proportional to 222,736 and 467,342

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Solution

The third proportional to 222,736 and 467,342 is: 980,571.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,736 : 467,342 = 467,342 : x
  2. Step 2: Convert to fraction form
    222,736/467,342 = 467,342/x
  3. Step 3: Cross multiply
    222,736x = 467,342 × 467,342
  4. Step 4: Simplify right side
    222,736x = 218,408,544,964
  5. Step 5: Solve for x
    x = 218,408,544,964/222,736
  6. Step 6: Final answer
    x = 980,571.37

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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.