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Finding the Third Proportional to 273,278 and 593,836

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Solution

The third proportional to 273,278 and 593,836 is: 1,290,411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,278 : 593,836 = 593,836 : x
  2. Step 2: Convert to fraction form
    273,278/593,836 = 593,836/x
  3. Step 3: Cross multiply
    273,278x = 593,836 × 593,836
  4. Step 4: Simplify right side
    273,278x = 352,641,194,896
  5. Step 5: Solve for x
    x = 352,641,194,896/273,278
  6. Step 6: Final answer
    x = 1,290,411.94

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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.