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Finding the Third Proportional to 268,974 and 376,960.50

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Solution

The third proportional to 268,974 and 376,960.50 is: 528,300.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,974 : 376,960.50 = 376,960.50 : x
  2. Step 2: Convert to fraction form
    268,974/376,960.50 = 376,960.50/x
  3. Step 3: Cross multiply
    268,974x = 376,960.50 × 376,960.50
  4. Step 4: Simplify right side
    268,974x = 142,099,218,560.25
  5. Step 5: Solve for x
    x = 142,099,218,560.25/268,974
  6. Step 6: Final answer
    x = 528,300.95

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.