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Finding the Third Proportional to 327,622 and 700,786

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Solution

The third proportional to 327,622 and 700,786 is: 1,498,986.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,622 : 700,786 = 700,786 : x
  2. Step 2: Convert to fraction form
    327,622/700,786 = 700,786/x
  3. Step 3: Cross multiply
    327,622x = 700,786 × 700,786
  4. Step 4: Simplify right side
    327,622x = 491,101,017,796
  5. Step 5: Solve for x
    x = 491,101,017,796/327,622
  6. Step 6: Final answer
    x = 1,498,986.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.