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Finding the Third Proportional to 280,154 and 599,674

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Solution

The third proportional to 280,154 and 599,674 is: 1,283,611.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,154 : 599,674 = 599,674 : x
  2. Step 2: Convert to fraction form
    280,154/599,674 = 599,674/x
  3. Step 3: Cross multiply
    280,154x = 599,674 × 599,674
  4. Step 4: Simplify right side
    280,154x = 359,608,906,276
  5. Step 5: Solve for x
    x = 359,608,906,276/280,154
  6. Step 6: Final answer
    x = 1,283,611.54

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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.