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Finding the Third Proportional to 280,170 and 599,706

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Solution

The third proportional to 280,170 and 599,706 is: 1,283,675.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,170 : 599,706 = 599,706 : x
  2. Step 2: Convert to fraction form
    280,170/599,706 = 599,706/x
  3. Step 3: Cross multiply
    280,170x = 599,706 × 599,706
  4. Step 4: Simplify right side
    280,170x = 359,647,286,436
  5. Step 5: Solve for x
    x = 359,647,286,436/280,170
  6. Step 6: Final answer
    x = 1,283,675.22

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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.