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Finding the Third Proportional to 250,338 and 521,394

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Solution

The third proportional to 250,338 and 521,394 is: 1,085,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,338 : 521,394 = 521,394 : x
  2. Step 2: Convert to fraction form
    250,338/521,394 = 521,394/x
  3. Step 3: Cross multiply
    250,338x = 521,394 × 521,394
  4. Step 4: Simplify right side
    250,338x = 271,851,703,236
  5. Step 5: Solve for x
    x = 271,851,703,236/250,338
  6. Step 6: Final answer
    x = 1,085,938.62

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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.