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Finding the Third Proportional to 204,671 and 419,476

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Solution

The third proportional to 204,671 and 419,476 is: 859,721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,671 : 419,476 = 419,476 : x
  2. Step 2: Convert to fraction form
    204,671/419,476 = 419,476/x
  3. Step 3: Cross multiply
    204,671x = 419,476 × 419,476
  4. Step 4: Simplify right side
    204,671x = 175,960,114,576
  5. Step 5: Solve for x
    x = 175,960,114,576/204,671
  6. Step 6: Final answer
    x = 859,721.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.