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Finding the Third Proportional to 284,395 and 603,782

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Solution

The third proportional to 284,395 and 603,782 is: 1,281,853.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,395 : 603,782 = 603,782 : x
  2. Step 2: Convert to fraction form
    284,395/603,782 = 603,782/x
  3. Step 3: Cross multiply
    284,395x = 603,782 × 603,782
  4. Step 4: Simplify right side
    284,395x = 364,552,703,524
  5. Step 5: Solve for x
    x = 364,552,703,524/284,395
  6. Step 6: Final answer
    x = 1,281,853.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.