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Finding the Third Proportional to 367,007 and 778,116

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Solution

The third proportional to 367,007 and 778,116 is: 1,649,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,007 : 778,116 = 778,116 : x
  2. Step 2: Convert to fraction form
    367,007/778,116 = 778,116/x
  3. Step 3: Cross multiply
    367,007x = 778,116 × 778,116
  4. Step 4: Simplify right side
    367,007x = 605,464,509,456
  5. Step 5: Solve for x
    x = 605,464,509,456/367,007
  6. Step 6: Final answer
    x = 1,649,735.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.