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Finding the Third Proportional to 280,435.50 and 612,264.38

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Solution

The third proportional to 280,435.50 and 612,264.38 is: 1,336,733.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,435.50 : 612,264.38 = 612,264.38 : x
  2. Step 2: Convert to fraction form
    280,435.50/612,264.38 = 612,264.38/x
  3. Step 3: Cross multiply
    280,435.50x = 612,264.38 × 612,264.38
  4. Step 4: Simplify right side
    280,435.50x = 374,867,664,894.14
  5. Step 5: Solve for x
    x = 374,867,664,894.14/280,435.50
  6. Step 6: Final answer
    x = 1,336,733.99

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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.