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Finding the Third Proportional to 395,712 and 933,192

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Solution

The third proportional to 395,712 and 933,192 is: 2,200,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,712 : 933,192 = 933,192 : x
  2. Step 2: Convert to fraction form
    395,712/933,192 = 933,192/x
  3. Step 3: Cross multiply
    395,712x = 933,192 × 933,192
  4. Step 4: Simplify right side
    395,712x = 870,847,308,864
  5. Step 5: Solve for x
    x = 870,847,308,864/395,712
  6. Step 6: Final answer
    x = 2,200,709.88

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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.