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Finding the Third Proportional to 256,881 and 395,325

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Solution

The third proportional to 256,881 and 395,325 is: 608,382.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,881 : 395,325 = 395,325 : x
  2. Step 2: Convert to fraction form
    256,881/395,325 = 395,325/x
  3. Step 3: Cross multiply
    256,881x = 395,325 × 395,325
  4. Step 4: Simplify right side
    256,881x = 156,281,855,625
  5. Step 5: Solve for x
    x = 156,281,855,625/256,881
  6. Step 6: Final answer
    x = 608,382.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.