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Finding the Third Proportional to 392,728 and 848,192

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Solution

The third proportional to 392,728 and 848,192 is: 1,831,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,728 : 848,192 = 848,192 : x
  2. Step 2: Convert to fraction form
    392,728/848,192 = 848,192/x
  3. Step 3: Cross multiply
    392,728x = 848,192 × 848,192
  4. Step 4: Simplify right side
    392,728x = 719,429,668,864
  5. Step 5: Solve for x
    x = 719,429,668,864/392,728
  6. Step 6: Final answer
    x = 1,831,877.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.