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Finding the Third Proportional to 293,856 and 636,576

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Solution

The third proportional to 293,856 and 636,576 is: 1,379,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,856 : 636,576 = 636,576 : x
  2. Step 2: Convert to fraction form
    293,856/636,576 = 636,576/x
  3. Step 3: Cross multiply
    293,856x = 636,576 × 636,576
  4. Step 4: Simplify right side
    293,856x = 405,229,003,776
  5. Step 5: Solve for x
    x = 405,229,003,776/293,856
  6. Step 6: Final answer
    x = 1,379,005.38

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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.