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Finding the Third Proportional to 280,176 and 419,274

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Solution

The third proportional to 280,176 and 419,274 is: 627,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,176 : 419,274 = 419,274 : x
  2. Step 2: Convert to fraction form
    280,176/419,274 = 419,274/x
  3. Step 3: Cross multiply
    280,176x = 419,274 × 419,274
  4. Step 4: Simplify right side
    280,176x = 175,790,687,076
  5. Step 5: Solve for x
    x = 175,790,687,076/280,176
  6. Step 6: Final answer
    x = 627,429.50

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Why These Related Problems?

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