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Finding the Third Proportional to 561,471.75 and 863,894.25

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Solution

The third proportional to 561,471.75 and 863,894.25 is: 1,329,208.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,471.75 : 863,894.25 = 863,894.25 : x
  2. Step 2: Convert to fraction form
    561,471.75/863,894.25 = 863,894.25/x
  3. Step 3: Cross multiply
    561,471.75x = 863,894.25 × 863,894.25
  4. Step 4: Simplify right side
    561,471.75x = 746,313,275,183.06
  5. Step 5: Solve for x
    x = 746,313,275,183.06/561,471.75
  6. Step 6: Final answer
    x = 1,329,208.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.