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Finding the Third Proportional to 394,175 and 816,349

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Solution

The third proportional to 394,175 and 816,349 is: 1,690,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,175 : 816,349 = 816,349 : x
  2. Step 2: Convert to fraction form
    394,175/816,349 = 816,349/x
  3. Step 3: Cross multiply
    394,175x = 816,349 × 816,349
  4. Step 4: Simplify right side
    394,175x = 666,425,689,801
  5. Step 5: Solve for x
    x = 666,425,689,801/394,175
  6. Step 6: Final answer
    x = 1,690,684.82

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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.