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Finding the Third Proportional to 222,828 and 365,790

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Solution

The third proportional to 222,828 and 365,790 is: 600,473.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,828 : 365,790 = 365,790 : x
  2. Step 2: Convert to fraction form
    222,828/365,790 = 365,790/x
  3. Step 3: Cross multiply
    222,828x = 365,790 × 365,790
  4. Step 4: Simplify right side
    222,828x = 133,802,324,100
  5. Step 5: Solve for x
    x = 133,802,324,100/222,828
  6. Step 6: Final answer
    x = 600,473.57

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.