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Finding the Third Proportional to 273,828 and 599,189

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Solution

The third proportional to 273,828 and 599,189 is: 1,311,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,828 : 599,189 = 599,189 : x
  2. Step 2: Convert to fraction form
    273,828/599,189 = 599,189/x
  3. Step 3: Cross multiply
    273,828x = 599,189 × 599,189
  4. Step 4: Simplify right side
    273,828x = 359,027,457,721
  5. Step 5: Solve for x
    x = 359,027,457,721/273,828
  6. Step 6: Final answer
    x = 1,311,142.24

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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.