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Finding the Third Proportional to 464.91 and 680.27

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Solution

The third proportional to 464.91 and 680.27 is: 995.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.91 : 680.27 = 680.27 : x
  2. Step 2: Convert to fraction form
    464.91/680.27 = 680.27/x
  3. Step 3: Cross multiply
    464.91x = 680.27 × 680.27
  4. Step 4: Simplify right side
    464.91x = 462,771.95
  5. Step 5: Solve for x
    x = 462,771.95/464.91
  6. Step 6: Final answer
    x = 995.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.