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Finding the Third Proportional to 280,098 and 599,562

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Solution

The third proportional to 280,098 and 599,562 is: 1,283,388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,098 : 599,562 = 599,562 : x
  2. Step 2: Convert to fraction form
    280,098/599,562 = 599,562/x
  3. Step 3: Cross multiply
    280,098x = 599,562 × 599,562
  4. Step 4: Simplify right side
    280,098x = 359,474,591,844
  5. Step 5: Solve for x
    x = 359,474,591,844/280,098
  6. Step 6: Final answer
    x = 1,283,388.64

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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.