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Finding the Third Proportional to 338,472 and 743,376.66

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Solution

The third proportional to 338,472 and 743,376.66 is: 1,632,657.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,472 : 743,376.66 = 743,376.66 : x
  2. Step 2: Convert to fraction form
    338,472/743,376.66 = 743,376.66/x
  3. Step 3: Cross multiply
    338,472x = 743,376.66 × 743,376.66
  4. Step 4: Simplify right side
    338,472x = 552,608,853,057.43
  5. Step 5: Solve for x
    x = 552,608,853,057.43/338,472
  6. Step 6: Final answer
    x = 1,632,657.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.