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Finding the Third Proportional to 465.25 and 697.75

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Solution

The third proportional to 465.25 and 697.75 is: 1,046.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.25 : 697.75 = 697.75 : x
  2. Step 2: Convert to fraction form
    465.25/697.75 = 697.75/x
  3. Step 3: Cross multiply
    465.25x = 697.75 × 697.75
  4. Step 4: Simplify right side
    465.25x = 486,855.06
  5. Step 5: Solve for x
    x = 486,855.06/465.25
  6. Step 6: Final answer
    x = 1,046.44

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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.