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Finding the Third Proportional to 534,208 and 799,616

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Solution

The third proportional to 534,208 and 799,616 is: 1,196,885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,208 : 799,616 = 799,616 : x
  2. Step 2: Convert to fraction form
    534,208/799,616 = 799,616/x
  3. Step 3: Cross multiply
    534,208x = 799,616 × 799,616
  4. Step 4: Simplify right side
    534,208x = 639,385,747,456
  5. Step 5: Solve for x
    x = 639,385,747,456/534,208
  6. Step 6: Final answer
    x = 1,196,885.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.