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Finding the Third Proportional to 394,992 and 849,927

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Solution

The third proportional to 394,992 and 849,927 is: 1,828,836.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,992 : 849,927 = 849,927 : x
  2. Step 2: Convert to fraction form
    394,992/849,927 = 849,927/x
  3. Step 3: Cross multiply
    394,992x = 849,927 × 849,927
  4. Step 4: Simplify right side
    394,992x = 722,375,905,329
  5. Step 5: Solve for x
    x = 722,375,905,329/394,992
  6. Step 6: Final answer
    x = 1,828,836.80

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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.