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Finding the Third Proportional to 377,722 and 552,975

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Solution

The third proportional to 377,722 and 552,975 is: 809,540.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,722 : 552,975 = 552,975 : x
  2. Step 2: Convert to fraction form
    377,722/552,975 = 552,975/x
  3. Step 3: Cross multiply
    377,722x = 552,975 × 552,975
  4. Step 4: Simplify right side
    377,722x = 305,781,350,625
  5. Step 5: Solve for x
    x = 305,781,350,625/377,722
  6. Step 6: Final answer
    x = 809,540.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.