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Finding the Third Proportional to 381,550.50 and 794,503.69

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Solution

The third proportional to 381,550.50 and 794,503.69 is: 1,654,397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,550.50 : 794,503.69 = 794,503.69 : x
  2. Step 2: Convert to fraction form
    381,550.50/794,503.69 = 794,503.69/x
  3. Step 3: Cross multiply
    381,550.50x = 794,503.69 × 794,503.69
  4. Step 4: Simplify right side
    381,550.50x = 631,236,109,451.10
  5. Step 5: Solve for x
    x = 631,236,109,451.10/381,550.50
  6. Step 6: Final answer
    x = 1,654,397.28

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.