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Finding the Third Proportional to 204,257 and 474,648

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Solution

The third proportional to 204,257 and 474,648 is: 1,102,976.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,257 : 474,648 = 474,648 : x
  2. Step 2: Convert to fraction form
    204,257/474,648 = 474,648/x
  3. Step 3: Cross multiply
    204,257x = 474,648 × 474,648
  4. Step 4: Simplify right side
    204,257x = 225,290,723,904
  5. Step 5: Solve for x
    x = 225,290,723,904/204,257
  6. Step 6: Final answer
    x = 1,102,976.76

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.