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Finding the Third Proportional to 263,688 and 419,244

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Solution

The third proportional to 263,688 and 419,244 is: 666,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,688 : 419,244 = 419,244 : x
  2. Step 2: Convert to fraction form
    263,688/419,244 = 419,244/x
  3. Step 3: Cross multiply
    263,688x = 419,244 × 419,244
  4. Step 4: Simplify right side
    263,688x = 175,765,531,536
  5. Step 5: Solve for x
    x = 175,765,531,536/263,688
  6. Step 6: Final answer
    x = 666,566.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.