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Finding the Third Proportional to 207,014 and 445,740

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Solution

The third proportional to 207,014 and 445,740 is: 959,761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,014 : 445,740 = 445,740 : x
  2. Step 2: Convert to fraction form
    207,014/445,740 = 445,740/x
  3. Step 3: Cross multiply
    207,014x = 445,740 × 445,740
  4. Step 4: Simplify right side
    207,014x = 198,684,147,600
  5. Step 5: Solve for x
    x = 198,684,147,600/207,014
  6. Step 6: Final answer
    x = 959,761.89

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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.