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Finding the Third Proportional to 313.50 and 649.13

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Solution

The third proportional to 313.50 and 649.13 is: 1,344.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.50 : 649.13 = 649.13 : x
  2. Step 2: Convert to fraction form
    313.50/649.13 = 649.13/x
  3. Step 3: Cross multiply
    313.50x = 649.13 × 649.13
  4. Step 4: Simplify right side
    313.50x = 421,363.27
  5. Step 5: Solve for x
    x = 421,363.27/313.50
  6. Step 6: Final answer
    x = 1,344.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.