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Finding the Third Proportional to 297.70 and 433.27

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Solution

The third proportional to 297.70 and 433.27 is: 630.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.70 : 433.27 = 433.27 : x
  2. Step 2: Convert to fraction form
    297.70/433.27 = 433.27/x
  3. Step 3: Cross multiply
    297.70x = 433.27 × 433.27
  4. Step 4: Simplify right side
    297.70x = 187,719.10
  5. Step 5: Solve for x
    x = 187,719.10/297.70
  6. Step 6: Final answer
    x = 630.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.