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Finding the Third Proportional to 394,179 and 816,357

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Solution

The third proportional to 394,179 and 816,357 is: 1,690,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,179 : 816,357 = 816,357 : x
  2. Step 2: Convert to fraction form
    394,179/816,357 = 816,357/x
  3. Step 3: Cross multiply
    394,179x = 816,357 × 816,357
  4. Step 4: Simplify right side
    394,179x = 666,438,751,449
  5. Step 5: Solve for x
    x = 666,438,751,449/394,179
  6. Step 6: Final answer
    x = 1,690,700.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.