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Finding the Third Proportional to 344.63 and 476.44

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Solution

The third proportional to 344.63 and 476.44 is: 658.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.63 : 476.44 = 476.44 : x
  2. Step 2: Convert to fraction form
    344.63/476.44 = 476.44/x
  3. Step 3: Cross multiply
    344.63x = 476.44 × 476.44
  4. Step 4: Simplify right side
    344.63x = 226,992.69
  5. Step 5: Solve for x
    x = 226,992.69/344.63
  6. Step 6: Final answer
    x = 658.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.