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Finding the Third Proportional to 290.94 and 443.05

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Solution

The third proportional to 290.94 and 443.05 is: 674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.94 : 443.05 = 443.05 : x
  2. Step 2: Convert to fraction form
    290.94/443.05 = 443.05/x
  3. Step 3: Cross multiply
    290.94x = 443.05 × 443.05
  4. Step 4: Simplify right side
    290.94x = 196,291.40
  5. Step 5: Solve for x
    x = 196,291.40/290.94
  6. Step 6: Final answer
    x = 674.69

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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.