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Finding the Third Proportional to 230,853 and 504,366

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Solution

The third proportional to 230,853 and 504,366 is: 1,101,935.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,853 : 504,366 = 504,366 : x
  2. Step 2: Convert to fraction form
    230,853/504,366 = 504,366/x
  3. Step 3: Cross multiply
    230,853x = 504,366 × 504,366
  4. Step 4: Simplify right side
    230,853x = 254,385,061,956
  5. Step 5: Solve for x
    x = 254,385,061,956/230,853
  6. Step 6: Final answer
    x = 1,101,935.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.