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Finding the Third Proportional to 419,085.50 and 905,131

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Solution

The third proportional to 419,085.50 and 905,131 is: 1,954,880.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,085.50 : 905,131 = 905,131 : x
  2. Step 2: Convert to fraction form
    419,085.50/905,131 = 905,131/x
  3. Step 3: Cross multiply
    419,085.50x = 905,131 × 905,131
  4. Step 4: Simplify right side
    419,085.50x = 819,262,127,161
  5. Step 5: Solve for x
    x = 819,262,127,161/419,085.50
  6. Step 6: Final answer
    x = 1,954,880.63

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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.