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Finding the Third Proportional to 392,904 and 852,336

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Solution

The third proportional to 392,904 and 852,336 is: 1,848,992.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,904 : 852,336 = 852,336 : x
  2. Step 2: Convert to fraction form
    392,904/852,336 = 852,336/x
  3. Step 3: Cross multiply
    392,904x = 852,336 × 852,336
  4. Step 4: Simplify right side
    392,904x = 726,476,656,896
  5. Step 5: Solve for x
    x = 726,476,656,896/392,904
  6. Step 6: Final answer
    x = 1,848,992.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.