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Finding the Third Proportional to 432.84 and 641.67

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Solution

The third proportional to 432.84 and 641.67 is: 951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.84 : 641.67 = 641.67 : x
  2. Step 2: Convert to fraction form
    432.84/641.67 = 641.67/x
  3. Step 3: Cross multiply
    432.84x = 641.67 × 641.67
  4. Step 4: Simplify right side
    432.84x = 411,742.80
  5. Step 5: Solve for x
    x = 411,742.80/432.84
  6. Step 6: Final answer
    x = 951.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.