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Finding the Third Proportional to 207,730.25 and 451,857

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Solution

The third proportional to 207,730.25 and 451,857 is: 982,884.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,730.25 : 451,857 = 451,857 : x
  2. Step 2: Convert to fraction form
    207,730.25/451,857 = 451,857/x
  3. Step 3: Cross multiply
    207,730.25x = 451,857 × 451,857
  4. Step 4: Simplify right side
    207,730.25x = 204,174,748,449
  5. Step 5: Solve for x
    x = 204,174,748,449/207,730.25
  6. Step 6: Final answer
    x = 982,884.05

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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.