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Finding the Third Proportional to 256,409 and 398,052

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Solution

The third proportional to 256,409 and 398,052 is: 617,940.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,409 : 398,052 = 398,052 : x
  2. Step 2: Convert to fraction form
    256,409/398,052 = 398,052/x
  3. Step 3: Cross multiply
    256,409x = 398,052 × 398,052
  4. Step 4: Simplify right side
    256,409x = 158,445,394,704
  5. Step 5: Solve for x
    x = 158,445,394,704/256,409
  6. Step 6: Final answer
    x = 617,940.07

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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.