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Finding the Third Proportional to 230,568 and 504,876

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Solution

The third proportional to 230,568 and 504,876 is: 1,105,529.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,568 : 504,876 = 504,876 : x
  2. Step 2: Convert to fraction form
    230,568/504,876 = 504,876/x
  3. Step 3: Cross multiply
    230,568x = 504,876 × 504,876
  4. Step 4: Simplify right side
    230,568x = 254,899,775,376
  5. Step 5: Solve for x
    x = 254,899,775,376/230,568
  6. Step 6: Final answer
    x = 1,105,529.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.