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Finding the Third Proportional to 381,974 and 809,482.50

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Solution

The third proportional to 381,974 and 809,482.50 is: 1,715,462.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,974 : 809,482.50 = 809,482.50 : x
  2. Step 2: Convert to fraction form
    381,974/809,482.50 = 809,482.50/x
  3. Step 3: Cross multiply
    381,974x = 809,482.50 × 809,482.50
  4. Step 4: Simplify right side
    381,974x = 655,261,917,806.25
  5. Step 5: Solve for x
    x = 655,261,917,806.25/381,974
  6. Step 6: Final answer
    x = 1,715,462.09

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.