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Finding the Third Proportional to 418,321.50 and 628,436.25

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Solution

The third proportional to 418,321.50 and 628,436.25 is: 944,087.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,321.50 : 628,436.25 = 628,436.25 : x
  2. Step 2: Convert to fraction form
    418,321.50/628,436.25 = 628,436.25/x
  3. Step 3: Cross multiply
    418,321.50x = 628,436.25 × 628,436.25
  4. Step 4: Simplify right side
    418,321.50x = 394,932,120,314.06
  5. Step 5: Solve for x
    x = 394,932,120,314.06/418,321.50
  6. Step 6: Final answer
    x = 944,087.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.