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Finding the Third Proportional to 387,891.75 and 822,431.25

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Solution

The third proportional to 387,891.75 and 822,431.25 is: 1,743,767.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,891.75 : 822,431.25 = 822,431.25 : x
  2. Step 2: Convert to fraction form
    387,891.75/822,431.25 = 822,431.25/x
  3. Step 3: Cross multiply
    387,891.75x = 822,431.25 × 822,431.25
  4. Step 4: Simplify right side
    387,891.75x = 676,393,160,976.56
  5. Step 5: Solve for x
    x = 676,393,160,976.56/387,891.75
  6. Step 6: Final answer
    x = 1,743,767.84

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.