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Finding the Third Proportional to 354,991.50 and 536,183.25

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Solution

The third proportional to 354,991.50 and 536,183.25 is: 809,857.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,991.50 : 536,183.25 = 536,183.25 : x
  2. Step 2: Convert to fraction form
    354,991.50/536,183.25 = 536,183.25/x
  3. Step 3: Cross multiply
    354,991.50x = 536,183.25 × 536,183.25
  4. Step 4: Simplify right side
    354,991.50x = 287,492,477,580.56
  5. Step 5: Solve for x
    x = 287,492,477,580.56/354,991.50
  6. Step 6: Final answer
    x = 809,857.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.