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Finding the Third Proportional to 204,997 and 449,476

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Solution

The third proportional to 204,997 and 449,476 is: 985,520.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,997 : 449,476 = 449,476 : x
  2. Step 2: Convert to fraction form
    204,997/449,476 = 449,476/x
  3. Step 3: Cross multiply
    204,997x = 449,476 × 449,476
  4. Step 4: Simplify right side
    204,997x = 202,028,674,576
  5. Step 5: Solve for x
    x = 202,028,674,576/204,997
  6. Step 6: Final answer
    x = 985,520.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.