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Finding the Third Proportional to 395,718 and 933,204

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Solution

The third proportional to 395,718 and 933,204 is: 2,200,733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,718 : 933,204 = 933,204 : x
  2. Step 2: Convert to fraction form
    395,718/933,204 = 933,204/x
  3. Step 3: Cross multiply
    395,718x = 933,204 × 933,204
  4. Step 4: Simplify right side
    395,718x = 870,869,705,616
  5. Step 5: Solve for x
    x = 870,869,705,616/395,718
  6. Step 6: Final answer
    x = 2,200,733.11

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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.