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Finding the Third Proportional to 335,052 and 729,198

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Solution

The third proportional to 335,052 and 729,198 is: 1,587,006.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,052 : 729,198 = 729,198 : x
  2. Step 2: Convert to fraction form
    335,052/729,198 = 729,198/x
  3. Step 3: Cross multiply
    335,052x = 729,198 × 729,198
  4. Step 4: Simplify right side
    335,052x = 531,729,723,204
  5. Step 5: Solve for x
    x = 531,729,723,204/335,052
  6. Step 6: Final answer
    x = 1,587,006.56

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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.