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Finding the Third Proportional to 385,242 and 827,832

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Solution

The third proportional to 385,242 and 827,832 is: 1,778,896.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,242 : 827,832 = 827,832 : x
  2. Step 2: Convert to fraction form
    385,242/827,832 = 827,832/x
  3. Step 3: Cross multiply
    385,242x = 827,832 × 827,832
  4. Step 4: Simplify right side
    385,242x = 685,305,820,224
  5. Step 5: Solve for x
    x = 685,305,820,224/385,242
  6. Step 6: Final answer
    x = 1,778,896.95

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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.