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Finding the Third Proportional to 207,036 and 445,748.06

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Solution

The third proportional to 207,036 and 445,748.06 is: 959,694.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,036 : 445,748.06 = 445,748.06 : x
  2. Step 2: Convert to fraction form
    207,036/445,748.06 = 445,748.06/x
  3. Step 3: Cross multiply
    207,036x = 445,748.06 × 445,748.06
  4. Step 4: Simplify right side
    207,036x = 198,691,335,222.50
  5. Step 5: Solve for x
    x = 198,691,335,222.50/207,036
  6. Step 6: Final answer
    x = 959,694.62

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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.