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Finding the Third Proportional to 329.85 and 699.10

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Solution

The third proportional to 329.85 and 699.10 is: 1,481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.85 : 699.10 = 699.10 : x
  2. Step 2: Convert to fraction form
    329.85/699.10 = 699.10/x
  3. Step 3: Cross multiply
    329.85x = 699.10 × 699.10
  4. Step 4: Simplify right side
    329.85x = 488,740.26
  5. Step 5: Solve for x
    x = 488,740.26/329.85
  6. Step 6: Final answer
    x = 1,481.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.