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Finding the Third Proportional to 177,714 and 394,794

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Solution

The third proportional to 177,714 and 394,794 is: 877,040.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,714 : 394,794 = 394,794 : x
  2. Step 2: Convert to fraction form
    177,714/394,794 = 394,794/x
  3. Step 3: Cross multiply
    177,714x = 394,794 × 394,794
  4. Step 4: Simplify right side
    177,714x = 155,862,302,436
  5. Step 5: Solve for x
    x = 155,862,302,436/177,714
  6. Step 6: Final answer
    x = 877,040.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.