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Finding the Third Proportional to 207,039 and 445,755

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Solution

The third proportional to 207,039 and 445,755 is: 959,710.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,039 : 445,755 = 445,755 : x
  2. Step 2: Convert to fraction form
    207,039/445,755 = 445,755/x
  3. Step 3: Cross multiply
    207,039x = 445,755 × 445,755
  4. Step 4: Simplify right side
    207,039x = 198,697,520,025
  5. Step 5: Solve for x
    x = 198,697,520,025/207,039
  6. Step 6: Final answer
    x = 959,710.59

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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.