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Finding the Third Proportional to 490,768.88 and 733,222.13

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Solution

The third proportional to 490,768.88 and 733,222.13 is: 1,095,453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,768.88 : 733,222.13 = 733,222.13 : x
  2. Step 2: Convert to fraction form
    490,768.88/733,222.13 = 733,222.13/x
  3. Step 3: Cross multiply
    490,768.88x = 733,222.13 × 733,222.13
  4. Step 4: Simplify right side
    490,768.88x = 537,614,684,589.52
  5. Step 5: Solve for x
    x = 537,614,684,589.52/490,768.88
  6. Step 6: Final answer
    x = 1,095,453.91

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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.