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Finding the Third Proportional to 441,828 and 675,592.31

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Solution

The third proportional to 441,828 and 675,592.31 is: 1,033,037.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,828 : 675,592.31 = 675,592.31 : x
  2. Step 2: Convert to fraction form
    441,828/675,592.31 = 675,592.31/x
  3. Step 3: Cross multiply
    441,828x = 675,592.31 × 675,592.31
  4. Step 4: Simplify right side
    441,828x = 456,424,972,709.10
  5. Step 5: Solve for x
    x = 456,424,972,709.10/441,828
  6. Step 6: Final answer
    x = 1,033,037.68

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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.