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Finding the Third Proportional to 273,827 and 599,187

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Solution

The third proportional to 273,827 and 599,187 is: 1,311,138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,827 : 599,187 = 599,187 : x
  2. Step 2: Convert to fraction form
    273,827/599,187 = 599,187/x
  3. Step 3: Cross multiply
    273,827x = 599,187 × 599,187
  4. Step 4: Simplify right side
    273,827x = 359,025,060,969
  5. Step 5: Solve for x
    x = 359,025,060,969/273,827
  6. Step 6: Final answer
    x = 1,311,138.28

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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.