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Finding the Third Proportional to 232,827.75 and 511,380

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Solution

The third proportional to 232,827.75 and 511,380 is: 1,123,188.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,827.75 : 511,380 = 511,380 : x
  2. Step 2: Convert to fraction form
    232,827.75/511,380 = 511,380/x
  3. Step 3: Cross multiply
    232,827.75x = 511,380 × 511,380
  4. Step 4: Simplify right side
    232,827.75x = 261,509,504,400
  5. Step 5: Solve for x
    x = 261,509,504,400/232,827.75
  6. Step 6: Final answer
    x = 1,123,188.73

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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.