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Finding the Third Proportional to 321,741 and 692,811

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Solution

The third proportional to 321,741 and 692,811 is: 1,491,843.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,741 : 692,811 = 692,811 : x
  2. Step 2: Convert to fraction form
    321,741/692,811 = 692,811/x
  3. Step 3: Cross multiply
    321,741x = 692,811 × 692,811
  4. Step 4: Simplify right side
    321,741x = 479,987,081,721
  5. Step 5: Solve for x
    x = 479,987,081,721/321,741
  6. Step 6: Final answer
    x = 1,491,843.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.