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Finding the Third Proportional to 336.66 and 699.47

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Solution

The third proportional to 336.66 and 699.47 is: 1,453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.66 : 699.47 = 699.47 : x
  2. Step 2: Convert to fraction form
    336.66/699.47 = 699.47/x
  3. Step 3: Cross multiply
    336.66x = 699.47 × 699.47
  4. Step 4: Simplify right side
    336.66x = 489,256.53
  5. Step 5: Solve for x
    x = 489,256.53/336.66
  6. Step 6: Final answer
    x = 1,453.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.