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Finding the Third Proportional to 308,529 and 466,080.75

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Solution

The third proportional to 308,529 and 466,080.75 is: 704,087.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,529 : 466,080.75 = 466,080.75 : x
  2. Step 2: Convert to fraction form
    308,529/466,080.75 = 466,080.75/x
  3. Step 3: Cross multiply
    308,529x = 466,080.75 × 466,080.75
  4. Step 4: Simplify right side
    308,529x = 217,231,265,520.56
  5. Step 5: Solve for x
    x = 217,231,265,520.56/308,529
  6. Step 6: Final answer
    x = 704,087.02

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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.