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Finding the Third Proportional to 269,192 and 404,436

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Solution

The third proportional to 269,192 and 404,436 is: 607,627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,192 : 404,436 = 404,436 : x
  2. Step 2: Convert to fraction form
    269,192/404,436 = 404,436/x
  3. Step 3: Cross multiply
    269,192x = 404,436 × 404,436
  4. Step 4: Simplify right side
    269,192x = 163,568,478,096
  5. Step 5: Solve for x
    x = 163,568,478,096/269,192
  6. Step 6: Final answer
    x = 607,627.56

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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.