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Finding the Third Proportional to 251,801 and 490,751

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Solution

The third proportional to 251,801 and 490,751 is: 956,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,801 : 490,751 = 490,751 : x
  2. Step 2: Convert to fraction form
    251,801/490,751 = 490,751/x
  3. Step 3: Cross multiply
    251,801x = 490,751 × 490,751
  4. Step 4: Simplify right side
    251,801x = 240,836,544,001
  5. Step 5: Solve for x
    x = 240,836,544,001/251,801
  6. Step 6: Final answer
    x = 956,455.87

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.