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Finding the Third Proportional to 541,824 and 838,496

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Solution

The third proportional to 541,824 and 838,496 is: 1,297,608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,824 : 838,496 = 838,496 : x
  2. Step 2: Convert to fraction form
    541,824/838,496 = 838,496/x
  3. Step 3: Cross multiply
    541,824x = 838,496 × 838,496
  4. Step 4: Simplify right side
    541,824x = 703,075,542,016
  5. Step 5: Solve for x
    x = 703,075,542,016/541,824
  6. Step 6: Final answer
    x = 1,297,608.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.