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Finding the Third Proportional to 335,094 and 679,908

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Solution

The third proportional to 335,094 and 679,908 is: 1,379,537.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,094 : 679,908 = 679,908 : x
  2. Step 2: Convert to fraction form
    335,094/679,908 = 679,908/x
  3. Step 3: Cross multiply
    335,094x = 679,908 × 679,908
  4. Step 4: Simplify right side
    335,094x = 462,274,888,464
  5. Step 5: Solve for x
    x = 462,274,888,464/335,094
  6. Step 6: Final answer
    x = 1,379,537.95

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.