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Finding the Third Proportional to 335,180.25 and 685,122.75

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Solution

The third proportional to 335,180.25 and 685,122.75 is: 1,400,420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,180.25 : 685,122.75 = 685,122.75 : x
  2. Step 2: Convert to fraction form
    335,180.25/685,122.75 = 685,122.75/x
  3. Step 3: Cross multiply
    335,180.25x = 685,122.75 × 685,122.75
  4. Step 4: Simplify right side
    335,180.25x = 469,393,182,567.56
  5. Step 5: Solve for x
    x = 469,393,182,567.56/335,180.25
  6. Step 6: Final answer
    x = 1,400,420.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.