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Finding the Third Proportional to 305,131.31 and 664,507.88

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Solution

The third proportional to 305,131.31 and 664,507.88 is: 1,447,149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,131.31 : 664,507.88 = 664,507.88 : x
  2. Step 2: Convert to fraction form
    305,131.31/664,507.88 = 664,507.88/x
  3. Step 3: Cross multiply
    305,131.31x = 664,507.88 × 664,507.88
  4. Step 4: Simplify right side
    305,131.31x = 441,570,715,937.02
  5. Step 5: Solve for x
    x = 441,570,715,937.02/305,131.31
  6. Step 6: Final answer
    x = 1,447,149.79

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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.