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Finding the Third Proportional to 492,950 and 793,638

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Solution

The third proportional to 492,950 and 793,638 is: 1,277,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,950 : 793,638 = 793,638 : x
  2. Step 2: Convert to fraction form
    492,950/793,638 = 793,638/x
  3. Step 3: Cross multiply
    492,950x = 793,638 × 793,638
  4. Step 4: Simplify right side
    492,950x = 629,861,275,044
  5. Step 5: Solve for x
    x = 629,861,275,044/492,950
  6. Step 6: Final answer
    x = 1,277,738.67

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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.