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Finding the Third Proportional to 348.26 and 773.40

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Solution

The third proportional to 348.26 and 773.40 is: 1,717.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.26 : 773.40 = 773.40 : x
  2. Step 2: Convert to fraction form
    348.26/773.40 = 773.40/x
  3. Step 3: Cross multiply
    348.26x = 773.40 × 773.40
  4. Step 4: Simplify right side
    348.26x = 598,151.19
  5. Step 5: Solve for x
    x = 598,151.19/348.26
  6. Step 6: Final answer
    x = 1,717.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.