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Finding the Third Proportional to 300,736.69 and 437,572.69

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Solution

The third proportional to 300,736.69 and 437,572.69 is: 636,669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,736.69 : 437,572.69 = 437,572.69 : x
  2. Step 2: Convert to fraction form
    300,736.69/437,572.69 = 437,572.69/x
  3. Step 3: Cross multiply
    300,736.69x = 437,572.69 × 437,572.69
  4. Step 4: Simplify right side
    300,736.69x = 191,469,856,845.97
  5. Step 5: Solve for x
    x = 191,469,856,845.97/300,736.69
  6. Step 6: Final answer
    x = 636,669.43

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.