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Finding the Third Proportional to 395,474 and 933,158

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Solution

The third proportional to 395,474 and 933,158 is: 2,201,873.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,474 : 933,158 = 933,158 : x
  2. Step 2: Convert to fraction form
    395,474/933,158 = 933,158/x
  3. Step 3: Cross multiply
    395,474x = 933,158 × 933,158
  4. Step 4: Simplify right side
    395,474x = 870,783,852,964
  5. Step 5: Solve for x
    x = 870,783,852,964/395,474
  6. Step 6: Final answer
    x = 2,201,873.83

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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.