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Finding the Third Proportional to 274,503 and 594,826

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Solution

The third proportional to 274,503 and 594,826 is: 1,288,940.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,503 : 594,826 = 594,826 : x
  2. Step 2: Convert to fraction form
    274,503/594,826 = 594,826/x
  3. Step 3: Cross multiply
    274,503x = 594,826 × 594,826
  4. Step 4: Simplify right side
    274,503x = 353,817,970,276
  5. Step 5: Solve for x
    x = 353,817,970,276/274,503
  6. Step 6: Final answer
    x = 1,288,940.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.