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Finding the Third Proportional to 204,732 and 442,997

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Solution

The third proportional to 204,732 and 442,997 is: 958,552.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,732 : 442,997 = 442,997 : x
  2. Step 2: Convert to fraction form
    204,732/442,997 = 442,997/x
  3. Step 3: Cross multiply
    204,732x = 442,997 × 442,997
  4. Step 4: Simplify right side
    204,732x = 196,246,342,009
  5. Step 5: Solve for x
    x = 196,246,342,009/204,732
  6. Step 6: Final answer
    x = 958,552.36

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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.