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Finding the Third Proportional to 229,401 and 504,183

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Solution

The third proportional to 229,401 and 504,183 is: 1,108,105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,401 : 504,183 = 504,183 : x
  2. Step 2: Convert to fraction form
    229,401/504,183 = 504,183/x
  3. Step 3: Cross multiply
    229,401x = 504,183 × 504,183
  4. Step 4: Simplify right side
    229,401x = 254,200,497,489
  5. Step 5: Solve for x
    x = 254,200,497,489/229,401
  6. Step 6: Final answer
    x = 1,108,105.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.