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Finding the Third Proportional to 451,626.75 and 613,057.50

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Solution

The third proportional to 451,626.75 and 613,057.50 is: 832,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,626.75 : 613,057.50 = 613,057.50 : x
  2. Step 2: Convert to fraction form
    451,626.75/613,057.50 = 613,057.50/x
  3. Step 3: Cross multiply
    451,626.75x = 613,057.50 × 613,057.50
  4. Step 4: Simplify right side
    451,626.75x = 375,839,498,306.25
  5. Step 5: Solve for x
    x = 375,839,498,306.25/451,626.75
  6. Step 6: Final answer
    x = 832,190.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.