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Finding the Third Proportional to 348.91 and 733.72

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Solution

The third proportional to 348.91 and 733.72 is: 1,542.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.91 : 733.72 = 733.72 : x
  2. Step 2: Convert to fraction form
    348.91/733.72 = 733.72/x
  3. Step 3: Cross multiply
    348.91x = 733.72 × 733.72
  4. Step 4: Simplify right side
    348.91x = 538,343.20
  5. Step 5: Solve for x
    x = 538,343.20/348.91
  6. Step 6: Final answer
    x = 1,542.95

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.