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Finding the Third Proportional to 232,269 and 474,384

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Solution

The third proportional to 232,269 and 474,384 is: 968,877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,269 : 474,384 = 474,384 : x
  2. Step 2: Convert to fraction form
    232,269/474,384 = 474,384/x
  3. Step 3: Cross multiply
    232,269x = 474,384 × 474,384
  4. Step 4: Simplify right side
    232,269x = 225,040,179,456
  5. Step 5: Solve for x
    x = 225,040,179,456/232,269
  6. Step 6: Final answer
    x = 968,877.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.