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Finding the Third Proportional to 299,208.94 and 605,161.13

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Solution

The third proportional to 299,208.94 and 605,161.13 is: 1,223,960.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,208.94 : 605,161.13 = 605,161.13 : x
  2. Step 2: Convert to fraction form
    299,208.94/605,161.13 = 605,161.13/x
  3. Step 3: Cross multiply
    299,208.94x = 605,161.13 × 605,161.13
  4. Step 4: Simplify right side
    299,208.94x = 366,219,987,211.27
  5. Step 5: Solve for x
    x = 366,219,987,211.27/299,208.94
  6. Step 6: Final answer
    x = 1,223,960.72

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.