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Finding the Third Proportional to 598,108 and 888,522

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Solution

The third proportional to 598,108 and 888,522 is: 1,319,947.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,108 : 888,522 = 888,522 : x
  2. Step 2: Convert to fraction form
    598,108/888,522 = 888,522/x
  3. Step 3: Cross multiply
    598,108x = 888,522 × 888,522
  4. Step 4: Simplify right side
    598,108x = 789,471,344,484
  5. Step 5: Solve for x
    x = 789,471,344,484/598,108
  6. Step 6: Final answer
    x = 1,319,947.81

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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.