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Finding the Third Proportional to 397.75 and 433.75

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Solution

The third proportional to 397.75 and 433.75 is: 473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.75 : 433.75 = 433.75 : x
  2. Step 2: Convert to fraction form
    397.75/433.75 = 433.75/x
  3. Step 3: Cross multiply
    397.75x = 433.75 × 433.75
  4. Step 4: Simplify right side
    397.75x = 188,139.06
  5. Step 5: Solve for x
    x = 188,139.06/397.75
  6. Step 6: Final answer
    x = 473.01

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.