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Finding the Third Proportional to 337,834.50 and 728,034

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Solution

The third proportional to 337,834.50 and 728,034 is: 1,568,914.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,834.50 : 728,034 = 728,034 : x
  2. Step 2: Convert to fraction form
    337,834.50/728,034 = 728,034/x
  3. Step 3: Cross multiply
    337,834.50x = 728,034 × 728,034
  4. Step 4: Simplify right side
    337,834.50x = 530,033,505,156
  5. Step 5: Solve for x
    x = 530,033,505,156/337,834.50
  6. Step 6: Final answer
    x = 1,568,914.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.