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Finding the Third Proportional to 203,366 and 445,972

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Solution

The third proportional to 203,366 and 445,972 is: 977,995.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,366 : 445,972 = 445,972 : x
  2. Step 2: Convert to fraction form
    203,366/445,972 = 445,972/x
  3. Step 3: Cross multiply
    203,366x = 445,972 × 445,972
  4. Step 4: Simplify right side
    203,366x = 198,891,024,784
  5. Step 5: Solve for x
    x = 198,891,024,784/203,366
  6. Step 6: Final answer
    x = 977,995.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.