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Finding the Third Proportional to 314.44 and 476.44

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Solution

The third proportional to 314.44 and 476.44 is: 721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.44 : 476.44 = 476.44 : x
  2. Step 2: Convert to fraction form
    314.44/476.44 = 476.44/x
  3. Step 3: Cross multiply
    314.44x = 476.44 × 476.44
  4. Step 4: Simplify right side
    314.44x = 226,992.69
  5. Step 5: Solve for x
    x = 226,992.69/314.44
  6. Step 6: Final answer
    x = 721.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.