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Finding the Third Proportional to 225,722 and 504,916

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Solution

The third proportional to 225,722 and 504,916 is: 1,129,443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,722 : 504,916 = 504,916 : x
  2. Step 2: Convert to fraction form
    225,722/504,916 = 504,916/x
  3. Step 3: Cross multiply
    225,722x = 504,916 × 504,916
  4. Step 4: Simplify right side
    225,722x = 254,940,167,056
  5. Step 5: Solve for x
    x = 254,940,167,056/225,722
  6. Step 6: Final answer
    x = 1,129,443.15

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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.