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Finding the Third Proportional to 280,479.50 and 603,727

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Solution

The third proportional to 280,479.50 and 603,727 is: 1,299,511.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,479.50 : 603,727 = 603,727 : x
  2. Step 2: Convert to fraction form
    280,479.50/603,727 = 603,727/x
  3. Step 3: Cross multiply
    280,479.50x = 603,727 × 603,727
  4. Step 4: Simplify right side
    280,479.50x = 364,486,290,529
  5. Step 5: Solve for x
    x = 364,486,290,529/280,479.50
  6. Step 6: Final answer
    x = 1,299,511.34

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Why These Related Problems?

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