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Finding the Third Proportional to 598,104 and 888,516

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Solution

The third proportional to 598,104 and 888,516 is: 1,319,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,104 : 888,516 = 888,516 : x
  2. Step 2: Convert to fraction form
    598,104/888,516 = 888,516/x
  3. Step 3: Cross multiply
    598,104x = 888,516 × 888,516
  4. Step 4: Simplify right side
    598,104x = 789,460,682,256
  5. Step 5: Solve for x
    x = 789,460,682,256/598,104
  6. Step 6: Final answer
    x = 1,319,938.81

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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.