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Finding the Third Proportional to 350,233.03 and 512,859.09

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Solution

The third proportional to 350,233.03 and 512,859.09 is: 750,998.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,233.03 : 512,859.09 = 512,859.09 : x
  2. Step 2: Convert to fraction form
    350,233.03/512,859.09 = 512,859.09/x
  3. Step 3: Cross multiply
    350,233.03x = 512,859.09 × 512,859.09
  4. Step 4: Simplify right side
    350,233.03x = 263,024,450,042.07
  5. Step 5: Solve for x
    x = 263,024,450,042.07/350,233.03
  6. Step 6: Final answer
    x = 750,998.41

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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.