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Finding the Third Proportional to 232,834 and 511,390

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Solution

The third proportional to 232,834 and 511,390 is: 1,123,202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,834 : 511,390 = 511,390 : x
  2. Step 2: Convert to fraction form
    232,834/511,390 = 511,390/x
  3. Step 3: Cross multiply
    232,834x = 511,390 × 511,390
  4. Step 4: Simplify right side
    232,834x = 261,519,732,100
  5. Step 5: Solve for x
    x = 261,519,732,100/232,834
  6. Step 6: Final answer
    x = 1,123,202.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.