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Finding the Third Proportional to 252,774 and 550,183.50

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Solution

The third proportional to 252,774 and 550,183.50 is: 1,197,519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,774 : 550,183.50 = 550,183.50 : x
  2. Step 2: Convert to fraction form
    252,774/550,183.50 = 550,183.50/x
  3. Step 3: Cross multiply
    252,774x = 550,183.50 × 550,183.50
  4. Step 4: Simplify right side
    252,774x = 302,701,883,672.25
  5. Step 5: Solve for x
    x = 302,701,883,672.25/252,774
  6. Step 6: Final answer
    x = 1,197,519.85

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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.