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Finding the Third Proportional to 408,589 and 634,134

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Solution

The third proportional to 408,589 and 634,134 is: 984,181.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,589 : 634,134 = 634,134 : x
  2. Step 2: Convert to fraction form
    408,589/634,134 = 634,134/x
  3. Step 3: Cross multiply
    408,589x = 634,134 × 634,134
  4. Step 4: Simplify right side
    408,589x = 402,125,929,956
  5. Step 5: Solve for x
    x = 402,125,929,956/408,589
  6. Step 6: Final answer
    x = 984,181.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.