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Finding the Third Proportional to 332,857.69 and 727,992.14

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Solution

The third proportional to 332,857.69 and 727,992.14 is: 1,592,189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,857.69 : 727,992.14 = 727,992.14 : x
  2. Step 2: Convert to fraction form
    332,857.69/727,992.14 = 727,992.14/x
  3. Step 3: Cross multiply
    332,857.69x = 727,992.14 × 727,992.14
  4. Step 4: Simplify right side
    332,857.69x = 529,972,556,811.77
  5. Step 5: Solve for x
    x = 529,972,556,811.77/332,857.69
  6. Step 6: Final answer
    x = 1,592,189.63

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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.