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Finding the Third Proportional to 280,667 and 599,971

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Solution

The third proportional to 280,667 and 599,971 is: 1,282,534.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,667 : 599,971 = 599,971 : x
  2. Step 2: Convert to fraction form
    280,667/599,971 = 599,971/x
  3. Step 3: Cross multiply
    280,667x = 599,971 × 599,971
  4. Step 4: Simplify right side
    280,667x = 359,965,200,841
  5. Step 5: Solve for x
    x = 359,965,200,841/280,667
  6. Step 6: Final answer
    x = 1,282,534.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.