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Finding the Third Proportional to 293,860 and 636,584

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Solution

The third proportional to 293,860 and 636,584 is: 1,379,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,860 : 636,584 = 636,584 : x
  2. Step 2: Convert to fraction form
    293,860/636,584 = 636,584/x
  3. Step 3: Cross multiply
    293,860x = 636,584 × 636,584
  4. Step 4: Simplify right side
    293,860x = 405,239,189,056
  5. Step 5: Solve for x
    x = 405,239,189,056/293,860
  6. Step 6: Final answer
    x = 1,379,021.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.