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Finding the Third Proportional to 538.25 and 1,123.75

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Solution

The third proportional to 538.25 and 1,123.75 is: 2,346.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.25 : 1,123.75 = 1,123.75 : x
  2. Step 2: Convert to fraction form
    538.25/1,123.75 = 1,123.75/x
  3. Step 3: Cross multiply
    538.25x = 1,123.75 × 1,123.75
  4. Step 4: Simplify right side
    538.25x = 1,262,814.06
  5. Step 5: Solve for x
    x = 1,262,814.06/538.25
  6. Step 6: Final answer
    x = 2,346.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.