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Finding the Third Proportional to 250,992 and 538,380

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Solution

The third proportional to 250,992 and 538,380 is: 1,154,829.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,992 : 538,380 = 538,380 : x
  2. Step 2: Convert to fraction form
    250,992/538,380 = 538,380/x
  3. Step 3: Cross multiply
    250,992x = 538,380 × 538,380
  4. Step 4: Simplify right side
    250,992x = 289,853,024,400
  5. Step 5: Solve for x
    x = 289,853,024,400/250,992
  6. Step 6: Final answer
    x = 1,154,829.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.