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Finding the Third Proportional to 337 and 475.63

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Solution

The third proportional to 337 and 475.63 is: 671.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    337 : 475.63 = 475.63 : x
  2. Step 2: Convert to fraction form
    337/475.63 = 475.63/x
  3. Step 3: Cross multiply
    337x = 475.63 × 475.63
  4. Step 4: Simplify right side
    337x = 226,219.14
  5. Step 5: Solve for x
    x = 226,219.14/337
  6. Step 6: Final answer
    x = 671.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.