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Finding the Third Proportional to 451,622 and 699,059

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Solution

The third proportional to 451,622 and 699,059 is: 1,082,063.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,622 : 699,059 = 699,059 : x
  2. Step 2: Convert to fraction form
    451,622/699,059 = 699,059/x
  3. Step 3: Cross multiply
    451,622x = 699,059 × 699,059
  4. Step 4: Simplify right side
    451,622x = 488,683,485,481
  5. Step 5: Solve for x
    x = 488,683,485,481/451,622
  6. Step 6: Final answer
    x = 1,082,063.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.