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Finding the Third Proportional to 384,550.88 and 838,297.69

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Solution

The third proportional to 384,550.88 and 838,297.69 is: 1,827,438.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,550.88 : 838,297.69 = 838,297.69 : x
  2. Step 2: Convert to fraction form
    384,550.88/838,297.69 = 838,297.69/x
  3. Step 3: Cross multiply
    384,550.88x = 838,297.69 × 838,297.69
  4. Step 4: Simplify right side
    384,550.88x = 702,743,012,867.85
  5. Step 5: Solve for x
    x = 702,743,012,867.85/384,550.88
  6. Step 6: Final answer
    x = 1,827,438.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.