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Finding the Third Proportional to 264,411 and 397,197

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Solution

The third proportional to 264,411 and 397,197 is: 596,667.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,411 : 397,197 = 397,197 : x
  2. Step 2: Convert to fraction form
    264,411/397,197 = 397,197/x
  3. Step 3: Cross multiply
    264,411x = 397,197 × 397,197
  4. Step 4: Simplify right side
    264,411x = 157,765,456,809
  5. Step 5: Solve for x
    x = 157,765,456,809/264,411
  6. Step 6: Final answer
    x = 596,667.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.