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Finding the Third Proportional to 278,324 and 416,751

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Solution

The third proportional to 278,324 and 416,751 is: 624,025.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,324 : 416,751 = 416,751 : x
  2. Step 2: Convert to fraction form
    278,324/416,751 = 416,751/x
  3. Step 3: Cross multiply
    278,324x = 416,751 × 416,751
  4. Step 4: Simplify right side
    278,324x = 173,681,396,001
  5. Step 5: Solve for x
    x = 173,681,396,001/278,324
  6. Step 6: Final answer
    x = 624,025.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.