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Finding the Third Proportional to 395,702 and 933,167

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Solution

The third proportional to 395,702 and 933,167 is: 2,200,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,702 : 933,167 = 933,167 : x
  2. Step 2: Convert to fraction form
    395,702/933,167 = 933,167/x
  3. Step 3: Cross multiply
    395,702x = 933,167 × 933,167
  4. Step 4: Simplify right side
    395,702x = 870,800,649,889
  5. Step 5: Solve for x
    x = 870,800,649,889/395,702
  6. Step 6: Final answer
    x = 2,200,647.58

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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.