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Finding the Third Proportional to 278,410.50 and 434,251.13

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Solution

The third proportional to 278,410.50 and 434,251.13 is: 677,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,410.50 : 434,251.13 = 434,251.13 : x
  2. Step 2: Convert to fraction form
    278,410.50/434,251.13 = 434,251.13/x
  3. Step 3: Cross multiply
    278,410.50x = 434,251.13 × 434,251.13
  4. Step 4: Simplify right side
    278,410.50x = 188,574,039,563.77
  5. Step 5: Solve for x
    x = 188,574,039,563.77/278,410.50
  6. Step 6: Final answer
    x = 677,323.73

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.