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Finding the Third Proportional to 492,257.25 and 628,944.75

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Solution

The third proportional to 492,257.25 and 628,944.75 is: 803,586.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,257.25 : 628,944.75 = 628,944.75 : x
  2. Step 2: Convert to fraction form
    492,257.25/628,944.75 = 628,944.75/x
  3. Step 3: Cross multiply
    492,257.25x = 628,944.75 × 628,944.75
  4. Step 4: Simplify right side
    492,257.25x = 395,571,498,552.56
  5. Step 5: Solve for x
    x = 395,571,498,552.56/492,257.25
  6. Step 6: Final answer
    x = 803,586.94

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.