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Finding the Third Proportional to 386,251 and 799,231

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Solution

The third proportional to 386,251 and 799,231 is: 1,653,769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,251 : 799,231 = 799,231 : x
  2. Step 2: Convert to fraction form
    386,251/799,231 = 799,231/x
  3. Step 3: Cross multiply
    386,251x = 799,231 × 799,231
  4. Step 4: Simplify right side
    386,251x = 638,770,191,361
  5. Step 5: Solve for x
    x = 638,770,191,361/386,251
  6. Step 6: Final answer
    x = 1,653,769.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.