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Finding the Third Proportional to 441,891 and 691,270.50

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Solution

The third proportional to 441,891 and 691,270.50 is: 1,081,386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,891 : 691,270.50 = 691,270.50 : x
  2. Step 2: Convert to fraction form
    441,891/691,270.50 = 691,270.50/x
  3. Step 3: Cross multiply
    441,891x = 691,270.50 × 691,270.50
  4. Step 4: Simplify right side
    441,891x = 477,854,904,170.25
  5. Step 5: Solve for x
    x = 477,854,904,170.25/441,891
  6. Step 6: Final answer
    x = 1,081,386.37

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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.