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Finding the Third Proportional to 250,436 and 543,334

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Solution

The third proportional to 250,436 and 543,334 is: 1,178,791.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,436 : 543,334 = 543,334 : x
  2. Step 2: Convert to fraction form
    250,436/543,334 = 543,334/x
  3. Step 3: Cross multiply
    250,436x = 543,334 × 543,334
  4. Step 4: Simplify right side
    250,436x = 295,211,835,556
  5. Step 5: Solve for x
    x = 295,211,835,556/250,436
  6. Step 6: Final answer
    x = 1,178,791.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.