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Finding the Third Proportional to 278,341 and 607,225

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Solution

The third proportional to 278,341 and 607,225 is: 1,324,713.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,341 : 607,225 = 607,225 : x
  2. Step 2: Convert to fraction form
    278,341/607,225 = 607,225/x
  3. Step 3: Cross multiply
    278,341x = 607,225 × 607,225
  4. Step 4: Simplify right side
    278,341x = 368,722,200,625
  5. Step 5: Solve for x
    x = 368,722,200,625/278,341
  6. Step 6: Final answer
    x = 1,324,713.93

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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.