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Finding the Third Proportional to 404,649 and 850,932

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Solution

The third proportional to 404,649 and 850,932 is: 1,789,415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,649 : 850,932 = 850,932 : x
  2. Step 2: Convert to fraction form
    404,649/850,932 = 850,932/x
  3. Step 3: Cross multiply
    404,649x = 850,932 × 850,932
  4. Step 4: Simplify right side
    404,649x = 724,085,268,624
  5. Step 5: Solve for x
    x = 724,085,268,624/404,649
  6. Step 6: Final answer
    x = 1,789,415.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.