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Finding the Third Proportional to 375,495.75 and 809,979.75

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Solution

The third proportional to 375,495.75 and 809,979.75 is: 1,747,202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,495.75 : 809,979.75 = 809,979.75 : x
  2. Step 2: Convert to fraction form
    375,495.75/809,979.75 = 809,979.75/x
  3. Step 3: Cross multiply
    375,495.75x = 809,979.75 × 809,979.75
  4. Step 4: Simplify right side
    375,495.75x = 656,067,195,410.06
  5. Step 5: Solve for x
    x = 656,067,195,410.06/375,495.75
  6. Step 6: Final answer
    x = 1,747,202.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.