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Finding the Third Proportional to 384,928 and 927,327

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Solution

The third proportional to 384,928 and 927,327 is: 2,234,016.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,928 : 927,327 = 927,327 : x
  2. Step 2: Convert to fraction form
    384,928/927,327 = 927,327/x
  3. Step 3: Cross multiply
    384,928x = 927,327 × 927,327
  4. Step 4: Simplify right side
    384,928x = 859,935,364,929
  5. Step 5: Solve for x
    x = 859,935,364,929/384,928
  6. Step 6: Final answer
    x = 2,234,016.14

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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.