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Finding the Third Proportional to 294.26 and 443.60

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Solution

The third proportional to 294.26 and 443.60 is: 668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.26 : 443.60 = 443.60 : x
  2. Step 2: Convert to fraction form
    294.26/443.60 = 443.60/x
  3. Step 3: Cross multiply
    294.26x = 443.60 × 443.60
  4. Step 4: Simplify right side
    294.26x = 196,782.35
  5. Step 5: Solve for x
    x = 196,782.35/294.26
  6. Step 6: Final answer
    x = 668.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.