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Finding the Third Proportional to 231,933.38 and 503,226

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Solution

The third proportional to 231,933.38 and 503,226 is: 1,091,849.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,933.38 : 503,226 = 503,226 : x
  2. Step 2: Convert to fraction form
    231,933.38/503,226 = 503,226/x
  3. Step 3: Cross multiply
    231,933.38x = 503,226 × 503,226
  4. Step 4: Simplify right side
    231,933.38x = 253,236,407,076
  5. Step 5: Solve for x
    x = 253,236,407,076/231,933.38
  6. Step 6: Final answer
    x = 1,091,849.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.