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Finding the Third Proportional to 422.30 and 641.67

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Solution

The third proportional to 422.30 and 641.67 is: 975.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.30 : 641.67 = 641.67 : x
  2. Step 2: Convert to fraction form
    422.30/641.67 = 641.67/x
  3. Step 3: Cross multiply
    422.30x = 641.67 × 641.67
  4. Step 4: Simplify right side
    422.30x = 411,742.80
  5. Step 5: Solve for x
    x = 411,742.80/422.30
  6. Step 6: Final answer
    x = 975.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.