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Finding the Third Proportional to 451,626.75 and 664,965

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Solution

The third proportional to 451,626.75 and 664,965 is: 979,079.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,626.75 : 664,965 = 664,965 : x
  2. Step 2: Convert to fraction form
    451,626.75/664,965 = 664,965/x
  3. Step 3: Cross multiply
    451,626.75x = 664,965 × 664,965
  4. Step 4: Simplify right side
    451,626.75x = 442,178,451,225
  5. Step 5: Solve for x
    x = 442,178,451,225/451,626.75
  6. Step 6: Final answer
    x = 979,079.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.