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Finding the Third Proportional to 278,096 and 607,192

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Solution

The third proportional to 278,096 and 607,192 is: 1,325,736.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,096 : 607,192 = 607,192 : x
  2. Step 2: Convert to fraction form
    278,096/607,192 = 607,192/x
  3. Step 3: Cross multiply
    278,096x = 607,192 × 607,192
  4. Step 4: Simplify right side
    278,096x = 368,682,124,864
  5. Step 5: Solve for x
    x = 368,682,124,864/278,096
  6. Step 6: Final answer
    x = 1,325,736.89

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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.