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Finding the Third Proportional to 446,302 and 679,907

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Solution

The third proportional to 446,302 and 679,907 is: 1,035,786.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,302 : 679,907 = 679,907 : x
  2. Step 2: Convert to fraction form
    446,302/679,907 = 679,907/x
  3. Step 3: Cross multiply
    446,302x = 679,907 × 679,907
  4. Step 4: Simplify right side
    446,302x = 462,273,528,649
  5. Step 5: Solve for x
    x = 462,273,528,649/446,302
  6. Step 6: Final answer
    x = 1,035,786.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.