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Finding the Third Proportional to 239,661 and 504,162

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Solution

The third proportional to 239,661 and 504,162 is: 1,060,578.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,661 : 504,162 = 504,162 : x
  2. Step 2: Convert to fraction form
    239,661/504,162 = 504,162/x
  3. Step 3: Cross multiply
    239,661x = 504,162 × 504,162
  4. Step 4: Simplify right side
    239,661x = 254,179,322,244
  5. Step 5: Solve for x
    x = 254,179,322,244/239,661
  6. Step 6: Final answer
    x = 1,060,578.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.