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Finding the Third Proportional to 464.48 and 696.73

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Solution

The third proportional to 464.48 and 696.73 is: 1,045.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.48 : 696.73 = 696.73 : x
  2. Step 2: Convert to fraction form
    464.48/696.73 = 696.73/x
  3. Step 3: Cross multiply
    464.48x = 696.73 × 696.73
  4. Step 4: Simplify right side
    464.48x = 485,427.90
  5. Step 5: Solve for x
    x = 485,427.90/464.48
  6. Step 6: Final answer
    x = 1,045.09

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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.