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Finding the Third Proportional to 442.38 and 472.75

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Solution

The third proportional to 442.38 and 472.75 is: 505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.38 : 472.75 = 472.75 : x
  2. Step 2: Convert to fraction form
    442.38/472.75 = 472.75/x
  3. Step 3: Cross multiply
    442.38x = 472.75 × 472.75
  4. Step 4: Simplify right side
    442.38x = 223,492.56
  5. Step 5: Solve for x
    x = 223,492.56/442.38
  6. Step 6: Final answer
    x = 505.21

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.