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Finding the Third Proportional to 250,962 and 551,680

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Solution

The third proportional to 250,962 and 551,680 is: 1,212,736.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,962 : 551,680 = 551,680 : x
  2. Step 2: Convert to fraction form
    250,962/551,680 = 551,680/x
  3. Step 3: Cross multiply
    250,962x = 551,680 × 551,680
  4. Step 4: Simplify right side
    250,962x = 304,350,822,400
  5. Step 5: Solve for x
    x = 304,350,822,400/250,962
  6. Step 6: Final answer
    x = 1,212,736.68

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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.