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Finding the Third Proportional to 362,067 and 772,212

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Solution

The third proportional to 362,067 and 772,212 is: 1,646,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,067 : 772,212 = 772,212 : x
  2. Step 2: Convert to fraction form
    362,067/772,212 = 772,212/x
  3. Step 3: Cross multiply
    362,067x = 772,212 × 772,212
  4. Step 4: Simplify right side
    362,067x = 596,311,372,944
  5. Step 5: Solve for x
    x = 596,311,372,944/362,067
  6. Step 6: Final answer
    x = 1,646,964.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.