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Finding the Third Proportional to 338,467 and 743,355

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Solution

The third proportional to 338,467 and 743,355 is: 1,632,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,467 : 743,355 = 743,355 : x
  2. Step 2: Convert to fraction form
    338,467/743,355 = 743,355/x
  3. Step 3: Cross multiply
    338,467x = 743,355 × 743,355
  4. Step 4: Simplify right side
    338,467x = 552,576,656,025
  5. Step 5: Solve for x
    x = 552,576,656,025/338,467
  6. Step 6: Final answer
    x = 1,632,586.50

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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.