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Finding the Third Proportional to 329.06 and 513.37

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Solution

The third proportional to 329.06 and 513.37 is: 800.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.06 : 513.37 = 513.37 : x
  2. Step 2: Convert to fraction form
    329.06/513.37 = 513.37/x
  3. Step 3: Cross multiply
    329.06x = 513.37 × 513.37
  4. Step 4: Simplify right side
    329.06x = 263,547.87
  5. Step 5: Solve for x
    x = 263,547.87/329.06
  6. Step 6: Final answer
    x = 800.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.