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Finding the Third Proportional to 236,622 and 332,022

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Solution

The third proportional to 236,622 and 332,022 is: 465,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,622 : 332,022 = 332,022 : x
  2. Step 2: Convert to fraction form
    236,622/332,022 = 332,022/x
  3. Step 3: Cross multiply
    236,622x = 332,022 × 332,022
  4. Step 4: Simplify right side
    236,622x = 110,238,608,484
  5. Step 5: Solve for x
    x = 110,238,608,484/236,622
  6. Step 6: Final answer
    x = 465,884.86

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.