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Finding the Third Proportional to 256,984 and 395,496

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Solution

The third proportional to 256,984 and 395,496 is: 608,664.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,984 : 395,496 = 395,496 : x
  2. Step 2: Convert to fraction form
    256,984/395,496 = 395,496/x
  3. Step 3: Cross multiply
    256,984x = 395,496 × 395,496
  4. Step 4: Simplify right side
    256,984x = 156,417,086,016
  5. Step 5: Solve for x
    x = 156,417,086,016/256,984
  6. Step 6: Final answer
    x = 608,664.69

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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.