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Finding the Third Proportional to 419,100.75 and 905,175

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Solution

The third proportional to 419,100.75 and 905,175 is: 1,954,999.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,100.75 : 905,175 = 905,175 : x
  2. Step 2: Convert to fraction form
    419,100.75/905,175 = 905,175/x
  3. Step 3: Cross multiply
    419,100.75x = 905,175 × 905,175
  4. Step 4: Simplify right side
    419,100.75x = 819,341,780,625
  5. Step 5: Solve for x
    x = 819,341,780,625/419,100.75
  6. Step 6: Final answer
    x = 1,954,999.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.