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Finding the Third Proportional to 275,226.75 and 411,558.75

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Solution

The third proportional to 275,226.75 and 411,558.75 is: 615,422.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,226.75 : 411,558.75 = 411,558.75 : x
  2. Step 2: Convert to fraction form
    275,226.75/411,558.75 = 411,558.75/x
  3. Step 3: Cross multiply
    275,226.75x = 411,558.75 × 411,558.75
  4. Step 4: Simplify right side
    275,226.75x = 169,380,604,701.56
  5. Step 5: Solve for x
    x = 169,380,604,701.56/275,226.75
  6. Step 6: Final answer
    x = 615,422.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.