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Finding the Third Proportional to 311,979.25 and 456,268.88

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Solution

The third proportional to 311,979.25 and 456,268.88 is: 667,292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,979.25 : 456,268.88 = 456,268.88 : x
  2. Step 2: Convert to fraction form
    311,979.25/456,268.88 = 456,268.88/x
  3. Step 3: Cross multiply
    311,979.25x = 456,268.88 × 456,268.88
  4. Step 4: Simplify right side
    311,979.25x = 208,181,286,293.77
  5. Step 5: Solve for x
    x = 208,181,286,293.77/311,979.25
  6. Step 6: Final answer
    x = 667,292.09

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.