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Finding the Third Proportional to 377,790.75 and 523,611

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Solution

The third proportional to 377,790.75 and 523,611 is: 725,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,790.75 : 523,611 = 523,611 : x
  2. Step 2: Convert to fraction form
    377,790.75/523,611 = 523,611/x
  3. Step 3: Cross multiply
    377,790.75x = 523,611 × 523,611
  4. Step 4: Simplify right side
    377,790.75x = 274,168,479,321
  5. Step 5: Solve for x
    x = 274,168,479,321/377,790.75
  6. Step 6: Final answer
    x = 725,715.17

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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.