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Finding the Third Proportional to 392,852 and 848,358

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Solution

The third proportional to 392,852 and 848,358 is: 1,832,016.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,852 : 848,358 = 848,358 : x
  2. Step 2: Convert to fraction form
    392,852/848,358 = 848,358/x
  3. Step 3: Cross multiply
    392,852x = 848,358 × 848,358
  4. Step 4: Simplify right side
    392,852x = 719,711,296,164
  5. Step 5: Solve for x
    x = 719,711,296,164/392,852
  6. Step 6: Final answer
    x = 1,832,016.37

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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.