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Finding the Third Proportional to 280,194 and 599,751

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Solution

The third proportional to 280,194 and 599,751 is: 1,283,757.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,194 : 599,751 = 599,751 : x
  2. Step 2: Convert to fraction form
    280,194/599,751 = 599,751/x
  3. Step 3: Cross multiply
    280,194x = 599,751 × 599,751
  4. Step 4: Simplify right side
    280,194x = 359,701,262,001
  5. Step 5: Solve for x
    x = 359,701,262,001/280,194
  6. Step 6: Final answer
    x = 1,283,757.90

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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.