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Finding the Third Proportional to 377.44 and 609.47

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Solution

The third proportional to 377.44 and 609.47 is: 984.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.44 : 609.47 = 609.47 : x
  2. Step 2: Convert to fraction form
    377.44/609.47 = 609.47/x
  3. Step 3: Cross multiply
    377.44x = 609.47 × 609.47
  4. Step 4: Simplify right side
    377.44x = 371,452.16
  5. Step 5: Solve for x
    x = 371,452.16/377.44
  6. Step 6: Final answer
    x = 984.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.