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Finding the Third Proportional to 366,983 and 778,071

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Solution

The third proportional to 366,983 and 778,071 is: 1,649,652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,983 : 778,071 = 778,071 : x
  2. Step 2: Convert to fraction form
    366,983/778,071 = 778,071/x
  3. Step 3: Cross multiply
    366,983x = 778,071 × 778,071
  4. Step 4: Simplify right side
    366,983x = 605,394,481,041
  5. Step 5: Solve for x
    x = 605,394,481,041/366,983
  6. Step 6: Final answer
    x = 1,649,652.66

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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.