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Finding the Third Proportional to 392,896 and 848,396

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Solution

The third proportional to 392,896 and 848,396 is: 1,831,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,896 : 848,396 = 848,396 : x
  2. Step 2: Convert to fraction form
    392,896/848,396 = 848,396/x
  3. Step 3: Cross multiply
    392,896x = 848,396 × 848,396
  4. Step 4: Simplify right side
    392,896x = 719,775,772,816
  5. Step 5: Solve for x
    x = 719,775,772,816/392,896
  6. Step 6: Final answer
    x = 1,831,975.31

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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.