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Finding the Third Proportional to 244.56 and 578.69

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Solution

The third proportional to 244.56 and 578.69 is: 1,369.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.56 : 578.69 = 578.69 : x
  2. Step 2: Convert to fraction form
    244.56/578.69 = 578.69/x
  3. Step 3: Cross multiply
    244.56x = 578.69 × 578.69
  4. Step 4: Simplify right side
    244.56x = 334,879.22
  5. Step 5: Solve for x
    x = 334,879.22/244.56
  6. Step 6: Final answer
    x = 1,369.30

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.