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Finding the Third Proportional to 288.56 and 433.97

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Solution

The third proportional to 288.56 and 433.97 is: 652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.56 : 433.97 = 433.97 : x
  2. Step 2: Convert to fraction form
    288.56/433.97 = 433.97/x
  3. Step 3: Cross multiply
    288.56x = 433.97 × 433.97
  4. Step 4: Simplify right side
    288.56x = 188,328.88
  5. Step 5: Solve for x
    x = 188,328.88/288.56
  6. Step 6: Final answer
    x = 652.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.