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Finding the Third Proportional to 348.05 and 730.27

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Solution

The third proportional to 348.05 and 730.27 is: 1,532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.05 : 730.27 = 730.27 : x
  2. Step 2: Convert to fraction form
    348.05/730.27 = 730.27/x
  3. Step 3: Cross multiply
    348.05x = 730.27 × 730.27
  4. Step 4: Simplify right side
    348.05x = 533,287.88
  5. Step 5: Solve for x
    x = 533,287.88/348.05
  6. Step 6: Final answer
    x = 1,532.23

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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.