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Finding the Third Proportional to 377,803.50 and 523,635

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Solution

The third proportional to 377,803.50 and 523,635 is: 725,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,803.50 : 523,635 = 523,635 : x
  2. Step 2: Convert to fraction form
    377,803.50/523,635 = 523,635/x
  3. Step 3: Cross multiply
    377,803.50x = 523,635 × 523,635
  4. Step 4: Simplify right side
    377,803.50x = 274,193,613,225
  5. Step 5: Solve for x
    x = 274,193,613,225/377,803.50
  6. Step 6: Final answer
    x = 725,757.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.