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Finding the Third Proportional to 273,996 and 600,372

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Solution

The third proportional to 273,996 and 600,372 is: 1,315,517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,996 : 600,372 = 600,372 : x
  2. Step 2: Convert to fraction form
    273,996/600,372 = 600,372/x
  3. Step 3: Cross multiply
    273,996x = 600,372 × 600,372
  4. Step 4: Simplify right side
    273,996x = 360,446,538,384
  5. Step 5: Solve for x
    x = 360,446,538,384/273,996
  6. Step 6: Final answer
    x = 1,315,517.52

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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.