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Finding the Third Proportional to 322.13 and 513.75

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Solution

The third proportional to 322.13 and 513.75 is: 819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.13 : 513.75 = 513.75 : x
  2. Step 2: Convert to fraction form
    322.13/513.75 = 513.75/x
  3. Step 3: Cross multiply
    322.13x = 513.75 × 513.75
  4. Step 4: Simplify right side
    322.13x = 263,939.06
  5. Step 5: Solve for x
    x = 263,939.06/322.13
  6. Step 6: Final answer
    x = 819.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.