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Finding the Third Proportional to 246,718 and 327,997

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Solution

The third proportional to 246,718 and 327,997 is: 436,052.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,718 : 327,997 = 327,997 : x
  2. Step 2: Convert to fraction form
    246,718/327,997 = 327,997/x
  3. Step 3: Cross multiply
    246,718x = 327,997 × 327,997
  4. Step 4: Simplify right side
    246,718x = 107,582,032,009
  5. Step 5: Solve for x
    x = 107,582,032,009/246,718
  6. Step 6: Final answer
    x = 436,052.63

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.