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Finding the Third Proportional to 244.69 and 578.53

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Solution

The third proportional to 244.69 and 578.53 is: 1,367.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.69 : 578.53 = 578.53 : x
  2. Step 2: Convert to fraction form
    244.69/578.53 = 578.53/x
  3. Step 3: Cross multiply
    244.69x = 578.53 × 578.53
  4. Step 4: Simplify right side
    244.69x = 334,698.41
  5. Step 5: Solve for x
    x = 334,698.41/244.69
  6. Step 6: Final answer
    x = 1,367.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.