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Finding the Third Proportional to 442.69 and 1,044.28

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Solution

The third proportional to 442.69 and 1,044.28 is: 2,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.69 : 1,044.28 = 1,044.28 : x
  2. Step 2: Convert to fraction form
    442.69/1,044.28 = 1,044.28/x
  3. Step 3: Cross multiply
    442.69x = 1,044.28 × 1,044.28
  4. Step 4: Simplify right side
    442.69x = 1,090,523.33
  5. Step 5: Solve for x
    x = 1,090,523.33/442.69
  6. Step 6: Final answer
    x = 2,463.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.