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Finding the Third Proportional to 232,848 and 503,067

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Solution

The third proportional to 232,848 and 503,067 is: 1,086,873.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,848 : 503,067 = 503,067 : x
  2. Step 2: Convert to fraction form
    232,848/503,067 = 503,067/x
  3. Step 3: Cross multiply
    232,848x = 503,067 × 503,067
  4. Step 4: Simplify right side
    232,848x = 253,076,406,489
  5. Step 5: Solve for x
    x = 253,076,406,489/232,848
  6. Step 6: Final answer
    x = 1,086,873.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.