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Finding the Third Proportional to 275,670 and 593,578

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Solution

The third proportional to 275,670 and 593,578 is: 1,278,103.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,670 : 593,578 = 593,578 : x
  2. Step 2: Convert to fraction form
    275,670/593,578 = 593,578/x
  3. Step 3: Cross multiply
    275,670x = 593,578 × 593,578
  4. Step 4: Simplify right side
    275,670x = 352,334,842,084
  5. Step 5: Solve for x
    x = 352,334,842,084/275,670
  6. Step 6: Final answer
    x = 1,278,103.68

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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.