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Finding the Third Proportional to 317.44 and 433.22

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Solution

The third proportional to 317.44 and 433.22 is: 591.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.44 : 433.22 = 433.22 : x
  2. Step 2: Convert to fraction form
    317.44/433.22 = 433.22/x
  3. Step 3: Cross multiply
    317.44x = 433.22 × 433.22
  4. Step 4: Simplify right side
    317.44x = 187,678.49
  5. Step 5: Solve for x
    x = 187,678.49/317.44
  6. Step 6: Final answer
    x = 591.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.