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Finding the Third Proportional to 394,907.91 and 848,893.92

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Solution

The third proportional to 394,907.91 and 848,893.92 is: 1,824,782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,907.91 : 848,893.92 = 848,893.92 : x
  2. Step 2: Convert to fraction form
    394,907.91/848,893.92 = 848,893.92/x
  3. Step 3: Cross multiply
    394,907.91x = 848,893.92 × 848,893.92
  4. Step 4: Simplify right side
    394,907.91x = 720,620,890,596.32
  5. Step 5: Solve for x
    x = 720,620,890,596.32/394,907.91
  6. Step 6: Final answer
    x = 1,824,782.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.