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Finding the Third Proportional to 290.72 and 449.44

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Solution

The third proportional to 290.72 and 449.44 is: 694.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.72 : 449.44 = 449.44 : x
  2. Step 2: Convert to fraction form
    290.72/449.44 = 449.44/x
  3. Step 3: Cross multiply
    290.72x = 449.44 × 449.44
  4. Step 4: Simplify right side
    290.72x = 201,994.07
  5. Step 5: Solve for x
    x = 201,994.07/290.72
  6. Step 6: Final answer
    x = 694.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.