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Finding the Third Proportional to 304.30 and 649.11

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Solution

The third proportional to 304.30 and 649.11 is: 1,384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.30 : 649.11 = 649.11 : x
  2. Step 2: Convert to fraction form
    304.30/649.11 = 649.11/x
  3. Step 3: Cross multiply
    304.30x = 649.11 × 649.11
  4. Step 4: Simplify right side
    304.30x = 421,340.45
  5. Step 5: Solve for x
    x = 421,340.45/304.30
  6. Step 6: Final answer
    x = 1,384.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.