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Finding the Third Proportional to 278,640 and 593,244

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Solution

The third proportional to 278,640 and 593,244 is: 1,263,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,640 : 593,244 = 593,244 : x
  2. Step 2: Convert to fraction form
    278,640/593,244 = 593,244/x
  3. Step 3: Cross multiply
    278,640x = 593,244 × 593,244
  4. Step 4: Simplify right side
    278,640x = 351,938,443,536
  5. Step 5: Solve for x
    x = 351,938,443,536/278,640
  6. Step 6: Final answer
    x = 1,263,057.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.