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Finding the Third Proportional to 293,952 and 636,736

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Solution

The third proportional to 293,952 and 636,736 is: 1,379,248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,952 : 636,736 = 636,736 : x
  2. Step 2: Convert to fraction form
    293,952/636,736 = 636,736/x
  3. Step 3: Cross multiply
    293,952x = 636,736 × 636,736
  4. Step 4: Simplify right side
    293,952x = 405,432,733,696
  5. Step 5: Solve for x
    x = 405,432,733,696/293,952
  6. Step 6: Final answer
    x = 1,379,248.09

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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.