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Finding the Third Proportional to 483.09 and 1,039.03

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Solution

The third proportional to 483.09 and 1,039.03 is: 2,234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.09 : 1,039.03 = 1,039.03 : x
  2. Step 2: Convert to fraction form
    483.09/1,039.03 = 1,039.03/x
  3. Step 3: Cross multiply
    483.09x = 1,039.03 × 1,039.03
  4. Step 4: Simplify right side
    483.09x = 1,079,585.94
  5. Step 5: Solve for x
    x = 1,079,585.94/483.09
  6. Step 6: Final answer
    x = 2,234.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.