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Finding the Third Proportional to 275,794 and 593,810

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Solution

The third proportional to 275,794 and 593,810 is: 1,278,527.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,794 : 593,810 = 593,810 : x
  2. Step 2: Convert to fraction form
    275,794/593,810 = 593,810/x
  3. Step 3: Cross multiply
    275,794x = 593,810 × 593,810
  4. Step 4: Simplify right side
    275,794x = 352,610,316,100
  5. Step 5: Solve for x
    x = 352,610,316,100/275,794
  6. Step 6: Final answer
    x = 1,278,527.87

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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.