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Finding the Third Proportional to 235,198.69 and 500,736.94

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Solution

The third proportional to 235,198.69 and 500,736.94 is: 1,066,066.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,198.69 : 500,736.94 = 500,736.94 : x
  2. Step 2: Convert to fraction form
    235,198.69/500,736.94 = 500,736.94/x
  3. Step 3: Cross multiply
    235,198.69x = 500,736.94 × 500,736.94
  4. Step 4: Simplify right side
    235,198.69x = 250,737,480,576.88
  5. Step 5: Solve for x
    x = 250,737,480,576.88/235,198.69
  6. Step 6: Final answer
    x = 1,066,066.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.