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Finding the Third Proportional to 273,821 and 599,175

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Solution

The third proportional to 273,821 and 599,175 is: 1,311,114.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,821 : 599,175 = 599,175 : x
  2. Step 2: Convert to fraction form
    273,821/599,175 = 599,175/x
  3. Step 3: Cross multiply
    273,821x = 599,175 × 599,175
  4. Step 4: Simplify right side
    273,821x = 359,010,680,625
  5. Step 5: Solve for x
    x = 359,010,680,625/273,821
  6. Step 6: Final answer
    x = 1,311,114.49

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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.