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Finding the Third Proportional to 204,522 and 419,236

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Solution

The third proportional to 204,522 and 419,236 is: 859,363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,522 : 419,236 = 419,236 : x
  2. Step 2: Convert to fraction form
    204,522/419,236 = 419,236/x
  3. Step 3: Cross multiply
    204,522x = 419,236 × 419,236
  4. Step 4: Simplify right side
    204,522x = 175,758,823,696
  5. Step 5: Solve for x
    x = 175,758,823,696/204,522
  6. Step 6: Final answer
    x = 859,363.90

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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.