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Finding the Third Proportional to 598,110 and 888,525

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Solution

The third proportional to 598,110 and 888,525 is: 1,319,952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,110 : 888,525 = 888,525 : x
  2. Step 2: Convert to fraction form
    598,110/888,525 = 888,525/x
  3. Step 3: Cross multiply
    598,110x = 888,525 × 888,525
  4. Step 4: Simplify right side
    598,110x = 789,476,675,625
  5. Step 5: Solve for x
    x = 789,476,675,625/598,110
  6. Step 6: Final answer
    x = 1,319,952.31

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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.