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Finding the Third Proportional to 207,012 and 445,735

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Solution

The third proportional to 207,012 and 445,735 is: 959,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,012 : 445,735 = 445,735 : x
  2. Step 2: Convert to fraction form
    207,012/445,735 = 445,735/x
  3. Step 3: Cross multiply
    207,012x = 445,735 × 445,735
  4. Step 4: Simplify right side
    207,012x = 198,679,690,225
  5. Step 5: Solve for x
    x = 198,679,690,225/207,012
  6. Step 6: Final answer
    x = 959,749.63

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Why These Related Problems?

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