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Finding the Third Proportional to 348.44 and 761.66

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Solution

The third proportional to 348.44 and 761.66 is: 1,664.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.44 : 761.66 = 761.66 : x
  2. Step 2: Convert to fraction form
    348.44/761.66 = 761.66/x
  3. Step 3: Cross multiply
    348.44x = 761.66 × 761.66
  4. Step 4: Simplify right side
    348.44x = 580,120.24
  5. Step 5: Solve for x
    x = 580,120.24/348.44
  6. Step 6: Final answer
    x = 1,664.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.