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Finding the Third Proportional to 412,967 and 605,803

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Solution

The third proportional to 412,967 and 605,803 is: 888,684.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,967 : 605,803 = 605,803 : x
  2. Step 2: Convert to fraction form
    412,967/605,803 = 605,803/x
  3. Step 3: Cross multiply
    412,967x = 605,803 × 605,803
  4. Step 4: Simplify right side
    412,967x = 366,997,274,809
  5. Step 5: Solve for x
    x = 366,997,274,809/412,967
  6. Step 6: Final answer
    x = 888,684.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.