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Finding the Third Proportional to 284,118 and 603,273

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Solution

The third proportional to 284,118 and 603,273 is: 1,280,940.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,118 : 603,273 = 603,273 : x
  2. Step 2: Convert to fraction form
    284,118/603,273 = 603,273/x
  3. Step 3: Cross multiply
    284,118x = 603,273 × 603,273
  4. Step 4: Simplify right side
    284,118x = 363,938,312,529
  5. Step 5: Solve for x
    x = 363,938,312,529/284,118
  6. Step 6: Final answer
    x = 1,280,940.71

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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.