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Finding the Third Proportional to 475.24 and 668.88

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Solution

The third proportional to 475.24 and 668.88 is: 941.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.24 : 668.88 = 668.88 : x
  2. Step 2: Convert to fraction form
    475.24/668.88 = 668.88/x
  3. Step 3: Cross multiply
    475.24x = 668.88 × 668.88
  4. Step 4: Simplify right side
    475.24x = 447,404.22
  5. Step 5: Solve for x
    x = 447,404.22/475.24
  6. Step 6: Final answer
    x = 941.42

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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.