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Finding the Third Proportional to 338,794 and 736,634

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Solution

The third proportional to 338,794 and 736,634 is: 1,601,650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,794 : 736,634 = 736,634 : x
  2. Step 2: Convert to fraction form
    338,794/736,634 = 736,634/x
  3. Step 3: Cross multiply
    338,794x = 736,634 × 736,634
  4. Step 4: Simplify right side
    338,794x = 542,629,649,956
  5. Step 5: Solve for x
    x = 542,629,649,956/338,794
  6. Step 6: Final answer
    x = 1,601,650.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.