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Finding the Third Proportional to 225,702 and 504,876

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Solution

The third proportional to 225,702 and 504,876 is: 1,129,364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,702 : 504,876 = 504,876 : x
  2. Step 2: Convert to fraction form
    225,702/504,876 = 504,876/x
  3. Step 3: Cross multiply
    225,702x = 504,876 × 504,876
  4. Step 4: Simplify right side
    225,702x = 254,899,775,376
  5. Step 5: Solve for x
    x = 254,899,775,376/225,702
  6. Step 6: Final answer
    x = 1,129,364.27

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.