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Finding the Third Proportional to 256,781 and 399,188

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Solution

The third proportional to 256,781 and 399,188 is: 620,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,781 : 399,188 = 399,188 : x
  2. Step 2: Convert to fraction form
    256,781/399,188 = 399,188/x
  3. Step 3: Cross multiply
    256,781x = 399,188 × 399,188
  4. Step 4: Simplify right side
    256,781x = 159,351,059,344
  5. Step 5: Solve for x
    x = 159,351,059,344/256,781
  6. Step 6: Final answer
    x = 620,571.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.