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Finding the Third Proportional to 278,104 and 607,176

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Solution

The third proportional to 278,104 and 607,176 is: 1,325,628.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,104 : 607,176 = 607,176 : x
  2. Step 2: Convert to fraction form
    278,104/607,176 = 607,176/x
  3. Step 3: Cross multiply
    278,104x = 607,176 × 607,176
  4. Step 4: Simplify right side
    278,104x = 368,662,694,976
  5. Step 5: Solve for x
    x = 368,662,694,976/278,104
  6. Step 6: Final answer
    x = 1,325,628.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.