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Finding the Third Proportional to 408,168 and 612,663

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Solution

The third proportional to 408,168 and 612,663 is: 919,611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,168 : 612,663 = 612,663 : x
  2. Step 2: Convert to fraction form
    408,168/612,663 = 612,663/x
  3. Step 3: Cross multiply
    408,168x = 612,663 × 612,663
  4. Step 4: Simplify right side
    408,168x = 375,355,951,569
  5. Step 5: Solve for x
    x = 375,355,951,569/408,168
  6. Step 6: Final answer
    x = 919,611.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.