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Finding the Third Proportional to 256,678 and 396,681

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Solution

The third proportional to 256,678 and 396,681 is: 613,047.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,678 : 396,681 = 396,681 : x
  2. Step 2: Convert to fraction form
    256,678/396,681 = 396,681/x
  3. Step 3: Cross multiply
    256,678x = 396,681 × 396,681
  4. Step 4: Simplify right side
    256,678x = 157,355,815,761
  5. Step 5: Solve for x
    x = 157,355,815,761/256,678
  6. Step 6: Final answer
    x = 613,047.54

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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.