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Finding the Third Proportional to 256,683 and 399,027

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Solution

The third proportional to 256,683 and 399,027 is: 620,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,683 : 399,027 = 399,027 : x
  2. Step 2: Convert to fraction form
    256,683/399,027 = 399,027/x
  3. Step 3: Cross multiply
    256,683x = 399,027 × 399,027
  4. Step 4: Simplify right side
    256,683x = 159,222,546,729
  5. Step 5: Solve for x
    x = 159,222,546,729/256,683
  6. Step 6: Final answer
    x = 620,308.11

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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.