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Finding the Third Proportional to 322,291.69 and 683,002.97

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Solution

The third proportional to 322,291.69 and 683,002.97 is: 1,447,425.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,291.69 : 683,002.97 = 683,002.97 : x
  2. Step 2: Convert to fraction form
    322,291.69/683,002.97 = 683,002.97/x
  3. Step 3: Cross multiply
    322,291.69x = 683,002.97 × 683,002.97
  4. Step 4: Simplify right side
    322,291.69x = 466,493,055,321.31
  5. Step 5: Solve for x
    x = 466,493,055,321.31/322,291.69
  6. Step 6: Final answer
    x = 1,447,425.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.