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Finding the Third Proportional to 441,867 and 675,634

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Solution

The third proportional to 441,867 and 675,634 is: 1,033,073.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,867 : 675,634 = 675,634 : x
  2. Step 2: Convert to fraction form
    441,867/675,634 = 675,634/x
  3. Step 3: Cross multiply
    441,867x = 675,634 × 675,634
  4. Step 4: Simplify right side
    441,867x = 456,481,301,956
  5. Step 5: Solve for x
    x = 456,481,301,956/441,867
  6. Step 6: Final answer
    x = 1,033,073.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.