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Finding the Third Proportional to 323.63 and 676.88

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Solution

The third proportional to 323.63 and 676.88 is: 1,415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.63 : 676.88 = 676.88 : x
  2. Step 2: Convert to fraction form
    323.63/676.88 = 676.88/x
  3. Step 3: Cross multiply
    323.63x = 676.88 × 676.88
  4. Step 4: Simplify right side
    323.63x = 458,159.77
  5. Step 5: Solve for x
    x = 458,159.77/323.63
  6. Step 6: Final answer
    x = 1,415.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.