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Finding the Third Proportional to 336.45 and 481.64

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Solution

The third proportional to 336.45 and 481.64 is: 689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.45 : 481.64 = 481.64 : x
  2. Step 2: Convert to fraction form
    336.45/481.64 = 481.64/x
  3. Step 3: Cross multiply
    336.45x = 481.64 × 481.64
  4. Step 4: Simplify right side
    336.45x = 231,977.69
  5. Step 5: Solve for x
    x = 231,977.69/336.45
  6. Step 6: Final answer
    x = 689.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.