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Finding the Third Proportional to 338,859 and 736,734

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Solution

The third proportional to 338,859 and 736,734 is: 1,601,778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,859 : 736,734 = 736,734 : x
  2. Step 2: Convert to fraction form
    338,859/736,734 = 736,734/x
  3. Step 3: Cross multiply
    338,859x = 736,734 × 736,734
  4. Step 4: Simplify right side
    338,859x = 542,776,986,756
  5. Step 5: Solve for x
    x = 542,776,986,756/338,859
  6. Step 6: Final answer
    x = 1,601,778.28

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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.