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Finding the Third Proportional to 381,877.50 and 839,997

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Solution

The third proportional to 381,877.50 and 839,997 is: 1,847,699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,877.50 : 839,997 = 839,997 : x
  2. Step 2: Convert to fraction form
    381,877.50/839,997 = 839,997/x
  3. Step 3: Cross multiply
    381,877.50x = 839,997 × 839,997
  4. Step 4: Simplify right side
    381,877.50x = 705,594,960,009
  5. Step 5: Solve for x
    x = 705,594,960,009/381,877.50
  6. Step 6: Final answer
    x = 1,847,699.75

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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.