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Finding the Third Proportional to 392,867 and 848,388

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Solution

The third proportional to 392,867 and 848,388 is: 1,832,075.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,867 : 848,388 = 848,388 : x
  2. Step 2: Convert to fraction form
    392,867/848,388 = 848,388/x
  3. Step 3: Cross multiply
    392,867x = 848,388 × 848,388
  4. Step 4: Simplify right side
    392,867x = 719,762,198,544
  5. Step 5: Solve for x
    x = 719,762,198,544/392,867
  6. Step 6: Final answer
    x = 1,832,075.99

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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.