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Finding the Third Proportional to 254,198 and 502,018

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Solution

The third proportional to 254,198 and 502,018 is: 991,440.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,198 : 502,018 = 502,018 : x
  2. Step 2: Convert to fraction form
    254,198/502,018 = 502,018/x
  3. Step 3: Cross multiply
    254,198x = 502,018 × 502,018
  4. Step 4: Simplify right side
    254,198x = 252,022,072,324
  5. Step 5: Solve for x
    x = 252,022,072,324/254,198
  6. Step 6: Final answer
    x = 991,440.03

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.