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Finding the Third Proportional to 319.57 and 671.41

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Solution

The third proportional to 319.57 and 671.41 is: 1,410.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.57 : 671.41 = 671.41 : x
  2. Step 2: Convert to fraction form
    319.57/671.41 = 671.41/x
  3. Step 3: Cross multiply
    319.57x = 671.41 × 671.41
  4. Step 4: Simplify right side
    319.57x = 450,796.84
  5. Step 5: Solve for x
    x = 450,796.84/319.57
  6. Step 6: Final answer
    x = 1,410.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.