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Finding the Third Proportional to 386,599.75 and 833,073.25

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Solution

The third proportional to 386,599.75 and 833,073.25 is: 1,795,166.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,599.75 : 833,073.25 = 833,073.25 : x
  2. Step 2: Convert to fraction form
    386,599.75/833,073.25 = 833,073.25/x
  3. Step 3: Cross multiply
    386,599.75x = 833,073.25 × 833,073.25
  4. Step 4: Simplify right side
    386,599.75x = 694,011,039,865.56
  5. Step 5: Solve for x
    x = 694,011,039,865.56/386,599.75
  6. Step 6: Final answer
    x = 1,795,166.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.