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Finding the Third Proportional to 4,400.44 and 6,578.44

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Solution

The third proportional to 4,400.44 and 6,578.44 is: 9,834.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,400.44 : 6,578.44 = 6,578.44 : x
  2. Step 2: Convert to fraction form
    4,400.44/6,578.44 = 6,578.44/x
  3. Step 3: Cross multiply
    4,400.44x = 6,578.44 × 6,578.44
  4. Step 4: Simplify right side
    4,400.44x = 43,275,839.94
  5. Step 5: Solve for x
    x = 43,275,839.94/4,400.44
  6. Step 6: Final answer
    x = 9,834.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.