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Finding the Third Proportional to 337,975 and 523,142

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Solution

The third proportional to 337,975 and 523,142 is: 809,756.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,975 : 523,142 = 523,142 : x
  2. Step 2: Convert to fraction form
    337,975/523,142 = 523,142/x
  3. Step 3: Cross multiply
    337,975x = 523,142 × 523,142
  4. Step 4: Simplify right side
    337,975x = 273,677,552,164
  5. Step 5: Solve for x
    x = 273,677,552,164/337,975
  6. Step 6: Final answer
    x = 809,756.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.