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Finding the Third Proportional to 404.44 and 465.47

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Solution

The third proportional to 404.44 and 465.47 is: 535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.44 : 465.47 = 465.47 : x
  2. Step 2: Convert to fraction form
    404.44/465.47 = 465.47/x
  3. Step 3: Cross multiply
    404.44x = 465.47 × 465.47
  4. Step 4: Simplify right side
    404.44x = 216,661.16
  5. Step 5: Solve for x
    x = 216,661.16/404.44
  6. Step 6: Final answer
    x = 535.71

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.