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Finding the Third Proportional to 384,912 and 927,288

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Solution

The third proportional to 384,912 and 927,288 is: 2,233,921.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,912 : 927,288 = 927,288 : x
  2. Step 2: Convert to fraction form
    384,912/927,288 = 927,288/x
  3. Step 3: Cross multiply
    384,912x = 927,288 × 927,288
  4. Step 4: Simplify right side
    384,912x = 859,863,034,944
  5. Step 5: Solve for x
    x = 859,863,034,944/384,912
  6. Step 6: Final answer
    x = 2,233,921.09

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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.