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Finding the Third Proportional to 384,787.50 and 843,456

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Solution

The third proportional to 384,787.50 and 843,456 is: 1,848,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,787.50 : 843,456 = 843,456 : x
  2. Step 2: Convert to fraction form
    384,787.50/843,456 = 843,456/x
  3. Step 3: Cross multiply
    384,787.50x = 843,456 × 843,456
  4. Step 4: Simplify right side
    384,787.50x = 711,418,023,936
  5. Step 5: Solve for x
    x = 711,418,023,936/384,787.50
  6. Step 6: Final answer
    x = 1,848,859.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.