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Finding the Third Proportional to 478.69 and 1,033.03

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Solution

The third proportional to 478.69 and 1,033.03 is: 2,229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.69 : 1,033.03 = 1,033.03 : x
  2. Step 2: Convert to fraction form
    478.69/1,033.03 = 1,033.03/x
  3. Step 3: Cross multiply
    478.69x = 1,033.03 × 1,033.03
  4. Step 4: Simplify right side
    478.69x = 1,067,153.56
  5. Step 5: Solve for x
    x = 1,067,153.56/478.69
  6. Step 6: Final answer
    x = 2,229.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.