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Finding the Third Proportional to 432.75 and 966.75

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Solution

The third proportional to 432.75 and 966.75 is: 2,159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.75 : 966.75 = 966.75 : x
  2. Step 2: Convert to fraction form
    432.75/966.75 = 966.75/x
  3. Step 3: Cross multiply
    432.75x = 966.75 × 966.75
  4. Step 4: Simplify right side
    432.75x = 934,605.56
  5. Step 5: Solve for x
    x = 934,605.56/432.75
  6. Step 6: Final answer
    x = 2,159.69

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.