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Finding the Third Proportional to 294,529 and 636,057

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Solution

The third proportional to 294,529 and 636,057 is: 1,373,611.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,529 : 636,057 = 636,057 : x
  2. Step 2: Convert to fraction form
    294,529/636,057 = 636,057/x
  3. Step 3: Cross multiply
    294,529x = 636,057 × 636,057
  4. Step 4: Simplify right side
    294,529x = 404,568,507,249
  5. Step 5: Solve for x
    x = 404,568,507,249/294,529
  6. Step 6: Final answer
    x = 1,373,611.79

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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.