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Finding the Third Proportional to 274,274 and 599,812

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Solution

The third proportional to 274,274 and 599,812 is: 1,311,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,274 : 599,812 = 599,812 : x
  2. Step 2: Convert to fraction form
    274,274/599,812 = 599,812/x
  3. Step 3: Cross multiply
    274,274x = 599,812 × 599,812
  4. Step 4: Simplify right side
    274,274x = 359,774,435,344
  5. Step 5: Solve for x
    x = 359,774,435,344/274,274
  6. Step 6: Final answer
    x = 1,311,733.65

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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.