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Finding the Third Proportional to 363,433 and 848,912

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Solution

The third proportional to 363,433 and 848,912 is: 1,982,900.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,433 : 848,912 = 848,912 : x
  2. Step 2: Convert to fraction form
    363,433/848,912 = 848,912/x
  3. Step 3: Cross multiply
    363,433x = 848,912 × 848,912
  4. Step 4: Simplify right side
    363,433x = 720,651,583,744
  5. Step 5: Solve for x
    x = 720,651,583,744/363,433
  6. Step 6: Final answer
    x = 1,982,900.79

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.