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Finding the Third Proportional to 278,640 and 610,674.75

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Solution

The third proportional to 278,640 and 610,674.75 is: 1,338,370.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,640 : 610,674.75 = 610,674.75 : x
  2. Step 2: Convert to fraction form
    278,640/610,674.75 = 610,674.75/x
  3. Step 3: Cross multiply
    278,640x = 610,674.75 × 610,674.75
  4. Step 4: Simplify right side
    278,640x = 372,923,650,287.56
  5. Step 5: Solve for x
    x = 372,923,650,287.56/278,640
  6. Step 6: Final answer
    x = 1,338,370.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.