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Finding the Third Proportional to 338,238 and 728,802

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Solution

The third proportional to 338,238 and 728,802 is: 1,570,350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,238 : 728,802 = 728,802 : x
  2. Step 2: Convert to fraction form
    338,238/728,802 = 728,802/x
  3. Step 3: Cross multiply
    338,238x = 728,802 × 728,802
  4. Step 4: Simplify right side
    338,238x = 531,152,355,204
  5. Step 5: Solve for x
    x = 531,152,355,204/338,238
  6. Step 6: Final answer
    x = 1,570,350.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.