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Finding the Third Proportional to 278,141 and 598,197

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Solution

The third proportional to 278,141 and 598,197 is: 1,286,540.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,141 : 598,197 = 598,197 : x
  2. Step 2: Convert to fraction form
    278,141/598,197 = 598,197/x
  3. Step 3: Cross multiply
    278,141x = 598,197 × 598,197
  4. Step 4: Simplify right side
    278,141x = 357,839,650,809
  5. Step 5: Solve for x
    x = 357,839,650,809/278,141
  6. Step 6: Final answer
    x = 1,286,540.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.