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Finding the Third Proportional to 273,824 and 599,181

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Solution

The third proportional to 273,824 and 599,181 is: 1,311,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,824 : 599,181 = 599,181 : x
  2. Step 2: Convert to fraction form
    273,824/599,181 = 599,181/x
  3. Step 3: Cross multiply
    273,824x = 599,181 × 599,181
  4. Step 4: Simplify right side
    273,824x = 359,017,870,761
  5. Step 5: Solve for x
    x = 359,017,870,761/273,824
  6. Step 6: Final answer
    x = 1,311,126.38

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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.