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Finding the Third Proportional to 394,996 and 849,935

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Solution

The third proportional to 394,996 and 849,935 is: 1,828,852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,996 : 849,935 = 849,935 : x
  2. Step 2: Convert to fraction form
    394,996/849,935 = 849,935/x
  3. Step 3: Cross multiply
    394,996x = 849,935 × 849,935
  4. Step 4: Simplify right side
    394,996x = 722,389,504,225
  5. Step 5: Solve for x
    x = 722,389,504,225/394,996
  6. Step 6: Final answer
    x = 1,828,852.71

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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.