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Finding the Third Proportional to 280,212.75 and 619,305.75

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Solution

The third proportional to 280,212.75 and 619,305.75 is: 1,368,744.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,212.75 : 619,305.75 = 619,305.75 : x
  2. Step 2: Convert to fraction form
    280,212.75/619,305.75 = 619,305.75/x
  3. Step 3: Cross multiply
    280,212.75x = 619,305.75 × 619,305.75
  4. Step 4: Simplify right side
    280,212.75x = 383,539,611,983.06
  5. Step 5: Solve for x
    x = 383,539,611,983.06/280,212.75
  6. Step 6: Final answer
    x = 1,368,744.33

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.