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Finding the Third Proportional to 442.69 and 964.88

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Solution

The third proportional to 442.69 and 964.88 is: 2,103.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.69 : 964.88 = 964.88 : x
  2. Step 2: Convert to fraction form
    442.69/964.88 = 964.88/x
  3. Step 3: Cross multiply
    442.69x = 964.88 × 964.88
  4. Step 4: Simplify right side
    442.69x = 930,983.77
  5. Step 5: Solve for x
    x = 930,983.77/442.69
  6. Step 6: Final answer
    x = 2,103.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.