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Finding the Third Proportional to 248,049 and 543,390

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Solution

The third proportional to 248,049 and 543,390 is: 1,190,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,049 : 543,390 = 543,390 : x
  2. Step 2: Convert to fraction form
    248,049/543,390 = 543,390/x
  3. Step 3: Cross multiply
    248,049x = 543,390 × 543,390
  4. Step 4: Simplify right side
    248,049x = 295,272,692,100
  5. Step 5: Solve for x
    x = 295,272,692,100/248,049
  6. Step 6: Final answer
    x = 1,190,380.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.