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Finding the Third Proportional to 338,856 and 736,728

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Solution

The third proportional to 338,856 and 736,728 is: 1,601,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,856 : 736,728 = 736,728 : x
  2. Step 2: Convert to fraction form
    338,856/736,728 = 736,728/x
  3. Step 3: Cross multiply
    338,856x = 736,728 × 736,728
  4. Step 4: Simplify right side
    338,856x = 542,768,145,984
  5. Step 5: Solve for x
    x = 542,768,145,984/338,856
  6. Step 6: Final answer
    x = 1,601,766.37

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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.