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Finding the Third Proportional to 185,018 and 436,529

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Solution

The third proportional to 185,018 and 436,529 is: 1,029,940.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,018 : 436,529 = 436,529 : x
  2. Step 2: Convert to fraction form
    185,018/436,529 = 436,529/x
  3. Step 3: Cross multiply
    185,018x = 436,529 × 436,529
  4. Step 4: Simplify right side
    185,018x = 190,557,567,841
  5. Step 5: Solve for x
    x = 190,557,567,841/185,018
  6. Step 6: Final answer
    x = 1,029,940.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.