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Finding the Third Proportional to 256,434 and 398,094

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Solution

The third proportional to 256,434 and 398,094 is: 618,010.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,434 : 398,094 = 398,094 : x
  2. Step 2: Convert to fraction form
    256,434/398,094 = 398,094/x
  3. Step 3: Cross multiply
    256,434x = 398,094 × 398,094
  4. Step 4: Simplify right side
    256,434x = 158,478,832,836
  5. Step 5: Solve for x
    x = 158,478,832,836/256,434
  6. Step 6: Final answer
    x = 618,010.22

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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.