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Finding the Third Proportional to 538.03 and 1,197.84

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Solution

The third proportional to 538.03 and 1,197.84 is: 2,666.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.03 : 1,197.84 = 1,197.84 : x
  2. Step 2: Convert to fraction form
    538.03/1,197.84 = 1,197.84/x
  3. Step 3: Cross multiply
    538.03x = 1,197.84 × 1,197.84
  4. Step 4: Simplify right side
    538.03x = 1,434,829.65
  5. Step 5: Solve for x
    x = 1,434,829.65/538.03
  6. Step 6: Final answer
    x = 2,666.81

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.