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Finding the Third Proportional to 250,344 and 521,400

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Solution

The third proportional to 250,344 and 521,400 is: 1,085,937.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,344 : 521,400 = 521,400 : x
  2. Step 2: Convert to fraction form
    250,344/521,400 = 521,400/x
  3. Step 3: Cross multiply
    250,344x = 521,400 × 521,400
  4. Step 4: Simplify right side
    250,344x = 271,857,960,000
  5. Step 5: Solve for x
    x = 271,857,960,000/250,344
  6. Step 6: Final answer
    x = 1,085,937.59

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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.