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Finding the Third Proportional to 635.25 and 947.63

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Solution

The third proportional to 635.25 and 947.63 is: 1,413.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.25 : 947.63 = 947.63 : x
  2. Step 2: Convert to fraction form
    635.25/947.63 = 947.63/x
  3. Step 3: Cross multiply
    635.25x = 947.63 × 947.63
  4. Step 4: Simplify right side
    635.25x = 897,993.14
  5. Step 5: Solve for x
    x = 897,993.14/635.25
  6. Step 6: Final answer
    x = 1,413.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.