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Finding the Third Proportional to 269,424 and 404,136

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Solution

The third proportional to 269,424 and 404,136 is: 606,204

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,424 : 404,136 = 404,136 : x
  2. Step 2: Convert to fraction form
    269,424/404,136 = 404,136/x
  3. Step 3: Cross multiply
    269,424x = 404,136 × 404,136
  4. Step 4: Simplify right side
    269,424x = 163,325,906,496
  5. Step 5: Solve for x
    x = 163,325,906,496/269,424
  6. Step 6: Final answer
    x = 606,204

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.