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Finding the Third Proportional to 244.44 and 505.19

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Solution

The third proportional to 244.44 and 505.19 is: 1,044.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.44 : 505.19 = 505.19 : x
  2. Step 2: Convert to fraction form
    244.44/505.19 = 505.19/x
  3. Step 3: Cross multiply
    244.44x = 505.19 × 505.19
  4. Step 4: Simplify right side
    244.44x = 255,214.41
  5. Step 5: Solve for x
    x = 255,214.41/244.44
  6. Step 6: Final answer
    x = 1,044.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.