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Finding the Third Proportional to 385,250 and 827,848

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Solution

The third proportional to 385,250 and 827,848 is: 1,778,928.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,250 : 827,848 = 827,848 : x
  2. Step 2: Convert to fraction form
    385,250/827,848 = 827,848/x
  3. Step 3: Cross multiply
    385,250x = 827,848 × 827,848
  4. Step 4: Simplify right side
    385,250x = 685,332,311,104
  5. Step 5: Solve for x
    x = 685,332,311,104/385,250
  6. Step 6: Final answer
    x = 1,778,928.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.