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Finding the Third Proportional to 354,106 and 548,296

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Solution

The third proportional to 354,106 and 548,296 is: 848,978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,106 : 548,296 = 548,296 : x
  2. Step 2: Convert to fraction form
    354,106/548,296 = 548,296/x
  3. Step 3: Cross multiply
    354,106x = 548,296 × 548,296
  4. Step 4: Simplify right side
    354,106x = 300,628,503,616
  5. Step 5: Solve for x
    x = 300,628,503,616/354,106
  6. Step 6: Final answer
    x = 848,978.85

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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.