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Finding the Third Proportional to 441,828 and 691,173

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Solution

The third proportional to 441,828 and 691,173 is: 1,081,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,828 : 691,173 = 691,173 : x
  2. Step 2: Convert to fraction form
    441,828/691,173 = 691,173/x
  3. Step 3: Cross multiply
    441,828x = 691,173 × 691,173
  4. Step 4: Simplify right side
    441,828x = 477,720,115,929
  5. Step 5: Solve for x
    x = 477,720,115,929/441,828
  6. Step 6: Final answer
    x = 1,081,235.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.