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Finding the Third Proportional to 348.47 and 765.70

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Solution

The third proportional to 348.47 and 765.70 is: 1,682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.47 : 765.70 = 765.70 : x
  2. Step 2: Convert to fraction form
    348.47/765.70 = 765.70/x
  3. Step 3: Cross multiply
    348.47x = 765.70 × 765.70
  4. Step 4: Simplify right side
    348.47x = 586,301.28
  5. Step 5: Solve for x
    x = 586,301.28/348.47
  6. Step 6: Final answer
    x = 1,682.51

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Why These Related Problems?

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