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Finding the Third Proportional to 207,982.69 and 448,016.06

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Solution

The third proportional to 207,982.69 and 448,016.06 is: 965,072.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,982.69 : 448,016.06 = 448,016.06 : x
  2. Step 2: Convert to fraction form
    207,982.69/448,016.06 = 448,016.06/x
  3. Step 3: Cross multiply
    207,982.69x = 448,016.06 × 448,016.06
  4. Step 4: Simplify right side
    207,982.69x = 200,718,392,258.00
  5. Step 5: Solve for x
    x = 200,718,392,258.00/207,982.69
  6. Step 6: Final answer
    x = 965,072.60

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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.