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Finding the Third Proportional to 394,098 and 847,326

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Solution

The third proportional to 394,098 and 847,326 is: 1,821,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,098 : 847,326 = 847,326 : x
  2. Step 2: Convert to fraction form
    394,098/847,326 = 847,326/x
  3. Step 3: Cross multiply
    394,098x = 847,326 × 847,326
  4. Step 4: Simplify right side
    394,098x = 717,961,350,276
  5. Step 5: Solve for x
    x = 717,961,350,276/394,098
  6. Step 6: Final answer
    x = 1,821,783.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.