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Finding the Third Proportional to 234,661 and 480,256

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Solution

The third proportional to 234,661 and 480,256 is: 982,889.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,661 : 480,256 = 480,256 : x
  2. Step 2: Convert to fraction form
    234,661/480,256 = 480,256/x
  3. Step 3: Cross multiply
    234,661x = 480,256 × 480,256
  4. Step 4: Simplify right side
    234,661x = 230,645,825,536
  5. Step 5: Solve for x
    x = 230,645,825,536/234,661
  6. Step 6: Final answer
    x = 982,889.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.