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Finding the Third Proportional to 350,208 and 512,888

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Solution

The third proportional to 350,208 and 512,888 is: 751,136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,208 : 512,888 = 512,888 : x
  2. Step 2: Convert to fraction form
    350,208/512,888 = 512,888/x
  3. Step 3: Cross multiply
    350,208x = 512,888 × 512,888
  4. Step 4: Simplify right side
    350,208x = 263,054,100,544
  5. Step 5: Solve for x
    x = 263,054,100,544/350,208
  6. Step 6: Final answer
    x = 751,136.75

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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.