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Finding the Third Proportional to 233,467 and 327,874

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Solution

The third proportional to 233,467 and 327,874 is: 460,456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,467 : 327,874 = 327,874 : x
  2. Step 2: Convert to fraction form
    233,467/327,874 = 327,874/x
  3. Step 3: Cross multiply
    233,467x = 327,874 × 327,874
  4. Step 4: Simplify right side
    233,467x = 107,501,359,876
  5. Step 5: Solve for x
    x = 107,501,359,876/233,467
  6. Step 6: Final answer
    x = 460,456.34

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Why These Related Problems?

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