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Finding the Third Proportional to 649.25 and 986

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Solution

The third proportional to 649.25 and 986 is: 1,497.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.25 : 986 = 986 : x
  2. Step 2: Convert to fraction form
    649.25/986 = 986/x
  3. Step 3: Cross multiply
    649.25x = 986 × 986
  4. Step 4: Simplify right side
    649.25x = 972,196
  5. Step 5: Solve for x
    x = 972,196/649.25
  6. Step 6: Final answer
    x = 1,497.41

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.