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Finding the Third Proportional to 629.12 and 1,384.07

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Solution

The third proportional to 629.12 and 1,384.07 is: 3,044.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.12 : 1,384.07 = 1,384.07 : x
  2. Step 2: Convert to fraction form
    629.12/1,384.07 = 1,384.07/x
  3. Step 3: Cross multiply
    629.12x = 1,384.07 × 1,384.07
  4. Step 4: Simplify right side
    629.12x = 1,915,639.82
  5. Step 5: Solve for x
    x = 1,915,639.82/629.12
  6. Step 6: Final answer
    x = 3,044.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.