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Finding the Third Proportional to 321,794.25 and 698,945.25

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Solution

The third proportional to 321,794.25 and 698,945.25 is: 1,518,126.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,794.25 : 698,945.25 = 698,945.25 : x
  2. Step 2: Convert to fraction form
    321,794.25/698,945.25 = 698,945.25/x
  3. Step 3: Cross multiply
    321,794.25x = 698,945.25 × 698,945.25
  4. Step 4: Simplify right side
    321,794.25x = 488,524,462,497.56
  5. Step 5: Solve for x
    x = 488,524,462,497.56/321,794.25
  6. Step 6: Final answer
    x = 1,518,126.76

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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.