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Finding the Third Proportional to 275,676 and 593,588

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Solution

The third proportional to 275,676 and 593,588 is: 1,278,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,676 : 593,588 = 593,588 : x
  2. Step 2: Convert to fraction form
    275,676/593,588 = 593,588/x
  3. Step 3: Cross multiply
    275,676x = 593,588 × 593,588
  4. Step 4: Simplify right side
    275,676x = 352,346,713,744
  5. Step 5: Solve for x
    x = 352,346,713,744/275,676
  6. Step 6: Final answer
    x = 1,278,118.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.