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Finding the Third Proportional to 280,479.75 and 603,727.50

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Solution

The third proportional to 280,479.75 and 603,727.50 is: 1,299,512.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,479.75 : 603,727.50 = 603,727.50 : x
  2. Step 2: Convert to fraction form
    280,479.75/603,727.50 = 603,727.50/x
  3. Step 3: Cross multiply
    280,479.75x = 603,727.50 × 603,727.50
  4. Step 4: Simplify right side
    280,479.75x = 364,486,894,256.25
  5. Step 5: Solve for x
    x = 364,486,894,256.25/280,479.75
  6. Step 6: Final answer
    x = 1,299,512.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.