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Finding the Third Proportional to 275,202.75 and 411,522.75

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Solution

The third proportional to 275,202.75 and 411,522.75 is: 615,368.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,202.75 : 411,522.75 = 411,522.75 : x
  2. Step 2: Convert to fraction form
    275,202.75/411,522.75 = 411,522.75/x
  3. Step 3: Cross multiply
    275,202.75x = 411,522.75 × 411,522.75
  4. Step 4: Simplify right side
    275,202.75x = 169,350,973,767.56
  5. Step 5: Solve for x
    x = 169,350,973,767.56/275,202.75
  6. Step 6: Final answer
    x = 615,368.03

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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.