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Finding the Third Proportional to 207,796.50 and 447,372

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Solution

The third proportional to 207,796.50 and 447,372 is: 963,162.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,796.50 : 447,372 = 447,372 : x
  2. Step 2: Convert to fraction form
    207,796.50/447,372 = 447,372/x
  3. Step 3: Cross multiply
    207,796.50x = 447,372 × 447,372
  4. Step 4: Simplify right side
    207,796.50x = 200,141,706,384
  5. Step 5: Solve for x
    x = 200,141,706,384/207,796.50
  6. Step 6: Final answer
    x = 963,162.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.