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Finding the Third Proportional to 273,826 and 599,185

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Solution

The third proportional to 273,826 and 599,185 is: 1,311,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,826 : 599,185 = 599,185 : x
  2. Step 2: Convert to fraction form
    273,826/599,185 = 599,185/x
  3. Step 3: Cross multiply
    273,826x = 599,185 × 599,185
  4. Step 4: Simplify right side
    273,826x = 359,022,664,225
  5. Step 5: Solve for x
    x = 359,022,664,225/273,826
  6. Step 6: Final answer
    x = 1,311,134.31

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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.