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Finding the Third Proportional to 412,351.75 and 638,480.75

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Solution

The third proportional to 412,351.75 and 638,480.75 is: 988,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,351.75 : 638,480.75 = 638,480.75 : x
  2. Step 2: Convert to fraction form
    412,351.75/638,480.75 = 638,480.75/x
  3. Step 3: Cross multiply
    412,351.75x = 638,480.75 × 638,480.75
  4. Step 4: Simplify right side
    412,351.75x = 407,657,668,120.56
  5. Step 5: Solve for x
    x = 407,657,668,120.56/412,351.75
  6. Step 6: Final answer
    x = 988,616.32

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