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Finding the Third Proportional to 275,636 and 600,496

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Solution

The third proportional to 275,636 and 600,496 is: 1,308,230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,636 : 600,496 = 600,496 : x
  2. Step 2: Convert to fraction form
    275,636/600,496 = 600,496/x
  3. Step 3: Cross multiply
    275,636x = 600,496 × 600,496
  4. Step 4: Simplify right side
    275,636x = 360,595,446,016
  5. Step 5: Solve for x
    x = 360,595,446,016/275,636
  6. Step 6: Final answer
    x = 1,308,230.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.