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Finding the Third Proportional to 404,839 and 605,028

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Solution

The third proportional to 404,839 and 605,028 is: 904,208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,839 : 605,028 = 605,028 : x
  2. Step 2: Convert to fraction form
    404,839/605,028 = 605,028/x
  3. Step 3: Cross multiply
    404,839x = 605,028 × 605,028
  4. Step 4: Simplify right side
    404,839x = 366,058,880,784
  5. Step 5: Solve for x
    x = 366,058,880,784/404,839
  6. Step 6: Final answer
    x = 904,208.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.