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Finding the Third Proportional to 379,431 and 839,200.50

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Solution

The third proportional to 379,431 and 839,200.50 is: 1,856,088.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,431 : 839,200.50 = 839,200.50 : x
  2. Step 2: Convert to fraction form
    379,431/839,200.50 = 839,200.50/x
  3. Step 3: Cross multiply
    379,431x = 839,200.50 × 839,200.50
  4. Step 4: Simplify right side
    379,431x = 704,257,479,200.25
  5. Step 5: Solve for x
    x = 704,257,479,200.25/379,431
  6. Step 6: Final answer
    x = 1,856,088.40

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.