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Finding the Third Proportional to 493,738.88 and 737,378.44

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Solution

The third proportional to 493,738.88 and 737,378.44 is: 1,101,243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,738.88 : 737,378.44 = 737,378.44 : x
  2. Step 2: Convert to fraction form
    493,738.88/737,378.44 = 737,378.44/x
  3. Step 3: Cross multiply
    493,738.88x = 737,378.44 × 737,378.44
  4. Step 4: Simplify right side
    493,738.88x = 543,726,960,089.94
  5. Step 5: Solve for x
    x = 543,726,960,089.94/493,738.88
  6. Step 6: Final answer
    x = 1,101,243.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.