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Finding the Third Proportional to 340,296.75 and 733,626.75

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Solution

The third proportional to 340,296.75 and 733,626.75 is: 1,581,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,296.75 : 733,626.75 = 733,626.75 : x
  2. Step 2: Convert to fraction form
    340,296.75/733,626.75 = 733,626.75/x
  3. Step 3: Cross multiply
    340,296.75x = 733,626.75 × 733,626.75
  4. Step 4: Simplify right side
    340,296.75x = 538,208,208,315.56
  5. Step 5: Solve for x
    x = 538,208,208,315.56/340,296.75
  6. Step 6: Final answer
    x = 1,581,584.92

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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.