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Finding the Third Proportional to 204,647 and 442,923

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Solution

The third proportional to 204,647 and 442,923 is: 958,630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,647 : 442,923 = 442,923 : x
  2. Step 2: Convert to fraction form
    204,647/442,923 = 442,923/x
  3. Step 3: Cross multiply
    204,647x = 442,923 × 442,923
  4. Step 4: Simplify right side
    204,647x = 196,180,783,929
  5. Step 5: Solve for x
    x = 196,180,783,929/204,647
  6. Step 6: Final answer
    x = 958,630.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.