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Finding the Third Proportional to 441,838 and 675,608

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Solution

The third proportional to 441,838 and 675,608 is: 1,033,062.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,838 : 675,608 = 675,608 : x
  2. Step 2: Convert to fraction form
    441,838/675,608 = 675,608/x
  3. Step 3: Cross multiply
    441,838x = 675,608 × 675,608
  4. Step 4: Simplify right side
    441,838x = 456,446,169,664
  5. Step 5: Solve for x
    x = 456,446,169,664/441,838
  6. Step 6: Final answer
    x = 1,033,062.28

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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.