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Finding the Third Proportional to 538.92 and 1,150.93

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Solution

The third proportional to 538.92 and 1,150.93 is: 2,457.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.92 : 1,150.93 = 1,150.93 : x
  2. Step 2: Convert to fraction form
    538.92/1,150.93 = 1,150.93/x
  3. Step 3: Cross multiply
    538.92x = 1,150.93 × 1,150.93
  4. Step 4: Simplify right side
    538.92x = 1,324,634.65
  5. Step 5: Solve for x
    x = 1,324,634.65/538.92
  6. Step 6: Final answer
    x = 2,457.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.