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Finding the Third Proportional to 374,586 and 809,025.75

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Solution

The third proportional to 374,586 and 809,025.75 is: 1,747,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,586 : 809,025.75 = 809,025.75 : x
  2. Step 2: Convert to fraction form
    374,586/809,025.75 = 809,025.75/x
  3. Step 3: Cross multiply
    374,586x = 809,025.75 × 809,025.75
  4. Step 4: Simplify right side
    374,586x = 654,522,664,163.06
  5. Step 5: Solve for x
    x = 654,522,664,163.06/374,586
  6. Step 6: Final answer
    x = 1,747,322.82

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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.