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Finding the Third Proportional to 304.69 and 667.22

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Solution

The third proportional to 304.69 and 667.22 is: 1,461.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.69 : 667.22 = 667.22 : x
  2. Step 2: Convert to fraction form
    304.69/667.22 = 667.22/x
  3. Step 3: Cross multiply
    304.69x = 667.22 × 667.22
  4. Step 4: Simplify right side
    304.69x = 445,180.86
  5. Step 5: Solve for x
    x = 445,180.86/304.69
  6. Step 6: Final answer
    x = 1,461.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.