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Finding the Third Proportional to 431.44 and 649.13

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Solution

The third proportional to 431.44 and 649.13 is: 976.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.44 : 649.13 = 649.13 : x
  2. Step 2: Convert to fraction form
    431.44/649.13 = 649.13/x
  3. Step 3: Cross multiply
    431.44x = 649.13 × 649.13
  4. Step 4: Simplify right side
    431.44x = 421,363.27
  5. Step 5: Solve for x
    x = 421,363.27/431.44
  6. Step 6: Final answer
    x = 976.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.