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Finding the Third Proportional to 352.97 and 730.41

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Solution

The third proportional to 352.97 and 730.41 is: 1,511.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.97 : 730.41 = 730.41 : x
  2. Step 2: Convert to fraction form
    352.97/730.41 = 730.41/x
  3. Step 3: Cross multiply
    352.97x = 730.41 × 730.41
  4. Step 4: Simplify right side
    352.97x = 533,493.29
  5. Step 5: Solve for x
    x = 533,493.29/352.97
  6. Step 6: Final answer
    x = 1,511.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.