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Finding the Third Proportional to 656.44 and 976.22

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Solution

The third proportional to 656.44 and 976.22 is: 1,451.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.44 : 976.22 = 976.22 : x
  2. Step 2: Convert to fraction form
    656.44/976.22 = 976.22/x
  3. Step 3: Cross multiply
    656.44x = 976.22 × 976.22
  4. Step 4: Simplify right side
    656.44x = 953,003.05
  5. Step 5: Solve for x
    x = 953,003.05/656.44
  6. Step 6: Final answer
    x = 1,451.78

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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.