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Finding the Third Proportional to 409,744.69 and 835,755.19

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Solution

The third proportional to 409,744.69 and 835,755.19 is: 1,704,687.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,744.69 : 835,755.19 = 835,755.19 : x
  2. Step 2: Convert to fraction form
    409,744.69/835,755.19 = 835,755.19/x
  3. Step 3: Cross multiply
    409,744.69x = 835,755.19 × 835,755.19
  4. Step 4: Simplify right side
    409,744.69x = 698,486,733,433.16
  5. Step 5: Solve for x
    x = 698,486,733,433.16/409,744.69
  6. Step 6: Final answer
    x = 1,704,687.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.