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Finding the Third Proportional to 367,081 and 680,759

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Solution

The third proportional to 367,081 and 680,759 is: 1,262,481.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,081 : 680,759 = 680,759 : x
  2. Step 2: Convert to fraction form
    367,081/680,759 = 680,759/x
  3. Step 3: Cross multiply
    367,081x = 680,759 × 680,759
  4. Step 4: Simplify right side
    367,081x = 463,432,816,081
  5. Step 5: Solve for x
    x = 463,432,816,081/367,081
  6. Step 6: Final answer
    x = 1,262,481.08

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.