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Finding the Third Proportional to 381,091.50 and 839,929.50

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Solution

The third proportional to 381,091.50 and 839,929.50 is: 1,851,213.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,091.50 : 839,929.50 = 839,929.50 : x
  2. Step 2: Convert to fraction form
    381,091.50/839,929.50 = 839,929.50/x
  3. Step 3: Cross multiply
    381,091.50x = 839,929.50 × 839,929.50
  4. Step 4: Simplify right side
    381,091.50x = 705,481,564,970.25
  5. Step 5: Solve for x
    x = 705,481,564,970.25/381,091.50
  6. Step 6: Final answer
    x = 1,851,213.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.