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Finding the Third Proportional to 385,204 and 927,990

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Solution

The third proportional to 385,204 and 927,990 is: 2,235,608.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,204 : 927,990 = 927,990 : x
  2. Step 2: Convert to fraction form
    385,204/927,990 = 927,990/x
  3. Step 3: Cross multiply
    385,204x = 927,990 × 927,990
  4. Step 4: Simplify right side
    385,204x = 861,165,440,100
  5. Step 5: Solve for x
    x = 861,165,440,100/385,204
  6. Step 6: Final answer
    x = 2,235,608.77

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.