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Finding the Third Proportional to 350,694 and 512,918

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Solution

The third proportional to 350,694 and 512,918 is: 750,183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,694 : 512,918 = 512,918 : x
  2. Step 2: Convert to fraction form
    350,694/512,918 = 512,918/x
  3. Step 3: Cross multiply
    350,694x = 512,918 × 512,918
  4. Step 4: Simplify right side
    350,694x = 263,084,874,724
  5. Step 5: Solve for x
    x = 263,084,874,724/350,694
  6. Step 6: Final answer
    x = 750,183.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.