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Finding the Third Proportional to 379,025.50 and 824,867

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Solution

The third proportional to 379,025.50 and 824,867 is: 1,795,144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,025.50 : 824,867 = 824,867 : x
  2. Step 2: Convert to fraction form
    379,025.50/824,867 = 824,867/x
  3. Step 3: Cross multiply
    379,025.50x = 824,867 × 824,867
  4. Step 4: Simplify right side
    379,025.50x = 680,405,567,689
  5. Step 5: Solve for x
    x = 680,405,567,689/379,025.50
  6. Step 6: Final answer
    x = 1,795,144.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.