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Finding the Third Proportional to 250,244 and 521,197

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Solution

The third proportional to 250,244 and 521,197 is: 1,085,525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,244 : 521,197 = 521,197 : x
  2. Step 2: Convert to fraction form
    250,244/521,197 = 521,197/x
  3. Step 3: Cross multiply
    250,244x = 521,197 × 521,197
  4. Step 4: Simplify right side
    250,244x = 271,646,312,809
  5. Step 5: Solve for x
    x = 271,646,312,809/250,244
  6. Step 6: Final answer
    x = 1,085,525.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.