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Finding the Third Proportional to 204,696 and 440,496

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Solution

The third proportional to 204,696 and 440,496 is: 947,926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,696 : 440,496 = 440,496 : x
  2. Step 2: Convert to fraction form
    204,696/440,496 = 440,496/x
  3. Step 3: Cross multiply
    204,696x = 440,496 × 440,496
  4. Step 4: Simplify right side
    204,696x = 194,036,726,016
  5. Step 5: Solve for x
    x = 194,036,726,016/204,696
  6. Step 6: Final answer
    x = 947,926.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.