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Finding the Third Proportional to 382,041 and 699,493.50

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Solution

The third proportional to 382,041 and 699,493.50 is: 1,280,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,041 : 699,493.50 = 699,493.50 : x
  2. Step 2: Convert to fraction form
    382,041/699,493.50 = 699,493.50/x
  3. Step 3: Cross multiply
    382,041x = 699,493.50 × 699,493.50
  4. Step 4: Simplify right side
    382,041x = 489,291,156,542.25
  5. Step 5: Solve for x
    x = 489,291,156,542.25/382,041
  6. Step 6: Final answer
    x = 1,280,729.44

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.