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Finding the Third Proportional to 446.94 and 505.44

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Solution

The third proportional to 446.94 and 505.44 is: 571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.94 : 505.44 = 505.44 : x
  2. Step 2: Convert to fraction form
    446.94/505.44 = 505.44/x
  3. Step 3: Cross multiply
    446.94x = 505.44 × 505.44
  4. Step 4: Simplify right side
    446.94x = 255,467.07
  5. Step 5: Solve for x
    x = 255,467.07/446.94
  6. Step 6: Final answer
    x = 571.59

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.