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Finding the Third Proportional to 280,436.50 and 612,266.50

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Solution

The third proportional to 280,436.50 and 612,266.50 is: 1,336,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,436.50 : 612,266.50 = 612,266.50 : x
  2. Step 2: Convert to fraction form
    280,436.50/612,266.50 = 612,266.50/x
  3. Step 3: Cross multiply
    280,436.50x = 612,266.50 × 612,266.50
  4. Step 4: Simplify right side
    280,436.50x = 374,870,267,022.25
  5. Step 5: Solve for x
    x = 374,870,267,022.25/280,436.50
  6. Step 6: Final answer
    x = 1,336,738.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.