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Finding the Third Proportional to 320,996 and 677,802

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Solution

The third proportional to 320,996 and 677,802 is: 1,431,218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,996 : 677,802 = 677,802 : x
  2. Step 2: Convert to fraction form
    320,996/677,802 = 677,802/x
  3. Step 3: Cross multiply
    320,996x = 677,802 × 677,802
  4. Step 4: Simplify right side
    320,996x = 459,415,551,204
  5. Step 5: Solve for x
    x = 459,415,551,204/320,996
  6. Step 6: Final answer
    x = 1,431,218.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.