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Finding the Third Proportional to 387,309 and 796,002

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Solution

The third proportional to 387,309 and 796,002 is: 1,635,952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,309 : 796,002 = 796,002 : x
  2. Step 2: Convert to fraction form
    387,309/796,002 = 796,002/x
  3. Step 3: Cross multiply
    387,309x = 796,002 × 796,002
  4. Step 4: Simplify right side
    387,309x = 633,619,184,004
  5. Step 5: Solve for x
    x = 633,619,184,004/387,309
  6. Step 6: Final answer
    x = 1,635,952.65

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.