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Finding the Third Proportional to 222,734 and 467,338

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Solution

The third proportional to 222,734 and 467,338 is: 980,563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,734 : 467,338 = 467,338 : x
  2. Step 2: Convert to fraction form
    222,734/467,338 = 467,338/x
  3. Step 3: Cross multiply
    222,734x = 467,338 × 467,338
  4. Step 4: Simplify right side
    222,734x = 218,404,806,244
  5. Step 5: Solve for x
    x = 218,404,806,244/222,734
  6. Step 6: Final answer
    x = 980,563.39

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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.