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Finding the Third Proportional to 445.41 and 512.81

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Solution

The third proportional to 445.41 and 512.81 is: 590.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.41 : 512.81 = 512.81 : x
  2. Step 2: Convert to fraction form
    445.41/512.81 = 512.81/x
  3. Step 3: Cross multiply
    445.41x = 512.81 × 512.81
  4. Step 4: Simplify right side
    445.41x = 262,976.66
  5. Step 5: Solve for x
    x = 262,976.66/445.41
  6. Step 6: Final answer
    x = 590.42

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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.