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Finding the Third Proportional to 222,302 and 467,834

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Solution

The third proportional to 222,302 and 467,834 is: 984,555.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,302 : 467,834 = 467,834 : x
  2. Step 2: Convert to fraction form
    222,302/467,834 = 467,834/x
  3. Step 3: Cross multiply
    222,302x = 467,834 × 467,834
  4. Step 4: Simplify right side
    222,302x = 218,868,651,556
  5. Step 5: Solve for x
    x = 218,868,651,556/222,302
  6. Step 6: Final answer
    x = 984,555.48

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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.