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Finding the Third Proportional to 417.66 and 964.41

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Solution

The third proportional to 417.66 and 964.41 is: 2,226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.66 : 964.41 = 964.41 : x
  2. Step 2: Convert to fraction form
    417.66/964.41 = 964.41/x
  3. Step 3: Cross multiply
    417.66x = 964.41 × 964.41
  4. Step 4: Simplify right side
    417.66x = 930,079.42
  5. Step 5: Solve for x
    x = 930,079.42/417.66
  6. Step 6: Final answer
    x = 2,226.90

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.