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Finding the Third Proportional to 273,945 and 597,720

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Solution

The third proportional to 273,945 and 597,720 is: 1,304,163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,945 : 597,720 = 597,720 : x
  2. Step 2: Convert to fraction form
    273,945/597,720 = 597,720/x
  3. Step 3: Cross multiply
    273,945x = 597,720 × 597,720
  4. Step 4: Simplify right side
    273,945x = 357,269,198,400
  5. Step 5: Solve for x
    x = 357,269,198,400/273,945
  6. Step 6: Final answer
    x = 1,304,163.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.