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Finding the Third Proportional to 446,439 and 673,686

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Solution

The third proportional to 446,439 and 673,686 is: 1,016,606.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,439 : 673,686 = 673,686 : x
  2. Step 2: Convert to fraction form
    446,439/673,686 = 673,686/x
  3. Step 3: Cross multiply
    446,439x = 673,686 × 673,686
  4. Step 4: Simplify right side
    446,439x = 453,852,826,596
  5. Step 5: Solve for x
    x = 453,852,826,596/446,439
  6. Step 6: Final answer
    x = 1,016,606.58

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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.