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Finding the Third Proportional to 304.19 and 433.44

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Solution

The third proportional to 304.19 and 433.44 is: 617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.19 : 433.44 = 433.44 : x
  2. Step 2: Convert to fraction form
    304.19/433.44 = 433.44/x
  3. Step 3: Cross multiply
    304.19x = 433.44 × 433.44
  4. Step 4: Simplify right side
    304.19x = 187,868.07
  5. Step 5: Solve for x
    x = 187,868.07/304.19
  6. Step 6: Final answer
    x = 617.61

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.