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Finding the Third Proportional to 250,211 and 539,302

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Solution

The third proportional to 250,211 and 539,302 is: 1,162,405.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,211 : 539,302 = 539,302 : x
  2. Step 2: Convert to fraction form
    250,211/539,302 = 539,302/x
  3. Step 3: Cross multiply
    250,211x = 539,302 × 539,302
  4. Step 4: Simplify right side
    250,211x = 290,846,647,204
  5. Step 5: Solve for x
    x = 290,846,647,204/250,211
  6. Step 6: Final answer
    x = 1,162,405.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.