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Finding the Third Proportional to 284,093 and 613,253

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Solution

The third proportional to 284,093 and 613,253 is: 1,323,789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,093 : 613,253 = 613,253 : x
  2. Step 2: Convert to fraction form
    284,093/613,253 = 613,253/x
  3. Step 3: Cross multiply
    284,093x = 613,253 × 613,253
  4. Step 4: Simplify right side
    284,093x = 376,079,242,009
  5. Step 5: Solve for x
    x = 376,079,242,009/284,093
  6. Step 6: Final answer
    x = 1,323,789.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.