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Finding the Third Proportional to 446,444 and 673,694

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Solution

The third proportional to 446,444 and 673,694 is: 1,016,619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,444 : 673,694 = 673,694 : x
  2. Step 2: Convert to fraction form
    446,444/673,694 = 673,694/x
  3. Step 3: Cross multiply
    446,444x = 673,694 × 673,694
  4. Step 4: Simplify right side
    446,444x = 453,863,605,636
  5. Step 5: Solve for x
    x = 453,863,605,636/446,444
  6. Step 6: Final answer
    x = 1,016,619.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.