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Finding the Third Proportional to 240,503 and 517,183

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Solution

The third proportional to 240,503 and 517,183 is: 1,112,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,503 : 517,183 = 517,183 : x
  2. Step 2: Convert to fraction form
    240,503/517,183 = 517,183/x
  3. Step 3: Cross multiply
    240,503x = 517,183 × 517,183
  4. Step 4: Simplify right side
    240,503x = 267,478,255,489
  5. Step 5: Solve for x
    x = 267,478,255,489/240,503
  6. Step 6: Final answer
    x = 1,112,161.83

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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.