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Finding the Third Proportional to 275,886 and 603,450

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Solution

The third proportional to 275,886 and 603,450 is: 1,319,936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,886 : 603,450 = 603,450 : x
  2. Step 2: Convert to fraction form
    275,886/603,450 = 603,450/x
  3. Step 3: Cross multiply
    275,886x = 603,450 × 603,450
  4. Step 4: Simplify right side
    275,886x = 364,151,902,500
  5. Step 5: Solve for x
    x = 364,151,902,500/275,886
  6. Step 6: Final answer
    x = 1,319,936.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.