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Finding the Third Proportional to 432.56 and 721.69

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Solution

The third proportional to 432.56 and 721.69 is: 1,204.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.56 : 721.69 = 721.69 : x
  2. Step 2: Convert to fraction form
    432.56/721.69 = 721.69/x
  3. Step 3: Cross multiply
    432.56x = 721.69 × 721.69
  4. Step 4: Simplify right side
    432.56x = 520,832.85
  5. Step 5: Solve for x
    x = 520,832.85/432.56
  6. Step 6: Final answer
    x = 1,204.06

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.