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Finding the Third Proportional to 395,782 and 933,327

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Solution

The third proportional to 395,782 and 933,327 is: 2,200,957.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,782 : 933,327 = 933,327 : x
  2. Step 2: Convert to fraction form
    395,782/933,327 = 933,327/x
  3. Step 3: Cross multiply
    395,782x = 933,327 × 933,327
  4. Step 4: Simplify right side
    395,782x = 871,099,288,929
  5. Step 5: Solve for x
    x = 871,099,288,929/395,782
  6. Step 6: Final answer
    x = 2,200,957.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.