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Finding the Third Proportional to 471.88 and 976.94

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Solution

The third proportional to 471.88 and 976.94 is: 2,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.88 : 976.94 = 976.94 : x
  2. Step 2: Convert to fraction form
    471.88/976.94 = 976.94/x
  3. Step 3: Cross multiply
    471.88x = 976.94 × 976.94
  4. Step 4: Simplify right side
    471.88x = 954,406.88
  5. Step 5: Solve for x
    x = 954,406.88/471.88
  6. Step 6: Final answer
    x = 2,022.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.