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Finding the Third Proportional to 303.25 and 457.44

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Solution

The third proportional to 303.25 and 457.44 is: 690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.25 : 457.44 = 457.44 : x
  2. Step 2: Convert to fraction form
    303.25/457.44 = 457.44/x
  3. Step 3: Cross multiply
    303.25x = 457.44 × 457.44
  4. Step 4: Simplify right side
    303.25x = 209,249.07
  5. Step 5: Solve for x
    x = 209,249.07/303.25
  6. Step 6: Final answer
    x = 690.02

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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.