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Finding the Third Proportional to 252,930.94 and 550,477.69

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Solution

The third proportional to 252,930.94 and 550,477.69 is: 1,198,057.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,930.94 : 550,477.69 = 550,477.69 : x
  2. Step 2: Convert to fraction form
    252,930.94/550,477.69 = 550,477.69/x
  3. Step 3: Cross multiply
    252,930.94x = 550,477.69 × 550,477.69
  4. Step 4: Simplify right side
    252,930.94x = 303,025,684,435.35
  5. Step 5: Solve for x
    x = 303,025,684,435.35/252,930.94
  6. Step 6: Final answer
    x = 1,198,057.02

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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.