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Finding the Third Proportional to 367,036 and 778,137

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Solution

The third proportional to 367,036 and 778,137 is: 1,649,694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,036 : 778,137 = 778,137 : x
  2. Step 2: Convert to fraction form
    367,036/778,137 = 778,137/x
  3. Step 3: Cross multiply
    367,036x = 778,137 × 778,137
  4. Step 4: Simplify right side
    367,036x = 605,497,190,769
  5. Step 5: Solve for x
    x = 605,497,190,769/367,036
  6. Step 6: Final answer
    x = 1,649,694.28

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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.