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Finding the Third Proportional to 329.44 and 531.38

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Solution

The third proportional to 329.44 and 531.38 is: 857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.44 : 531.38 = 531.38 : x
  2. Step 2: Convert to fraction form
    329.44/531.38 = 531.38/x
  3. Step 3: Cross multiply
    329.44x = 531.38 × 531.38
  4. Step 4: Simplify right side
    329.44x = 282,359.39
  5. Step 5: Solve for x
    x = 282,359.39/329.44
  6. Step 6: Final answer
    x = 857.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.