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Finding the Third Proportional to 250,920 and 551,736

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Solution

The third proportional to 250,920 and 551,736 is: 1,213,185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,920 : 551,736 = 551,736 : x
  2. Step 2: Convert to fraction form
    250,920/551,736 = 551,736/x
  3. Step 3: Cross multiply
    250,920x = 551,736 × 551,736
  4. Step 4: Simplify right side
    250,920x = 304,412,613,696
  5. Step 5: Solve for x
    x = 304,412,613,696/250,920
  6. Step 6: Final answer
    x = 1,213,185.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.