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Finding the Third Proportional to 280,732 and 603,443

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Solution

The third proportional to 280,732 and 603,443 is: 1,297,121.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,732 : 603,443 = 603,443 : x
  2. Step 2: Convert to fraction form
    280,732/603,443 = 603,443/x
  3. Step 3: Cross multiply
    280,732x = 603,443 × 603,443
  4. Step 4: Simplify right side
    280,732x = 364,143,454,249
  5. Step 5: Solve for x
    x = 364,143,454,249/280,732
  6. Step 6: Final answer
    x = 1,297,121.29

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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.