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Finding the Third Proportional to 412,743.94 and 550,378.69

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Solution

The third proportional to 412,743.94 and 550,378.69 is: 733,909.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,743.94 : 550,378.69 = 550,378.69 : x
  2. Step 2: Convert to fraction form
    412,743.94/550,378.69 = 550,378.69/x
  3. Step 3: Cross multiply
    412,743.94x = 550,378.69 × 550,378.69
  4. Step 4: Simplify right side
    412,743.94x = 302,916,699,654.22
  5. Step 5: Solve for x
    x = 302,916,699,654.22/412,743.94
  6. Step 6: Final answer
    x = 733,909.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.