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Finding the Third Proportional to 464.50 and 746.75

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Solution

The third proportional to 464.50 and 746.75 is: 1,200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.50 : 746.75 = 746.75 : x
  2. Step 2: Convert to fraction form
    464.50/746.75 = 746.75/x
  3. Step 3: Cross multiply
    464.50x = 746.75 × 746.75
  4. Step 4: Simplify right side
    464.50x = 557,635.56
  5. Step 5: Solve for x
    x = 557,635.56/464.50
  6. Step 6: Final answer
    x = 1,200.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.