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Finding the Third Proportional to 250,340 and 521,398

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Solution

The third proportional to 250,340 and 521,398 is: 1,085,946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,340 : 521,398 = 521,398 : x
  2. Step 2: Convert to fraction form
    250,340/521,398 = 521,398/x
  3. Step 3: Cross multiply
    250,340x = 521,398 × 521,398
  4. Step 4: Simplify right side
    250,340x = 271,855,874,404
  5. Step 5: Solve for x
    x = 271,855,874,404/250,340
  6. Step 6: Final answer
    x = 1,085,946.61

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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.