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Finding the Third Proportional to 319.32 and 687.56

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Solution

The third proportional to 319.32 and 687.56 is: 1,480.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.32 : 687.56 = 687.56 : x
  2. Step 2: Convert to fraction form
    319.32/687.56 = 687.56/x
  3. Step 3: Cross multiply
    319.32x = 687.56 × 687.56
  4. Step 4: Simplify right side
    319.32x = 472,739.67
  5. Step 5: Solve for x
    x = 472,739.67/319.32
  6. Step 6: Final answer
    x = 1,480.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.