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Finding the Third Proportional to 313.24 and 460.37

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Solution

The third proportional to 313.24 and 460.37 is: 676.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.24 : 460.37 = 460.37 : x
  2. Step 2: Convert to fraction form
    313.24/460.37 = 460.37/x
  3. Step 3: Cross multiply
    313.24x = 460.37 × 460.37
  4. Step 4: Simplify right side
    313.24x = 211,941.54
  5. Step 5: Solve for x
    x = 211,941.54/313.24
  6. Step 6: Final answer
    x = 676.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.