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Finding the Third Proportional to 344,467.69 and 738,765.56

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Solution

The third proportional to 344,467.69 and 738,765.56 is: 1,584,399.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,467.69 : 738,765.56 = 738,765.56 : x
  2. Step 2: Convert to fraction form
    344,467.69/738,765.56 = 738,765.56/x
  3. Step 3: Cross multiply
    344,467.69x = 738,765.56 × 738,765.56
  4. Step 4: Simplify right side
    344,467.69x = 545,774,556,335.94
  5. Step 5: Solve for x
    x = 545,774,556,335.94/344,467.69
  6. Step 6: Final answer
    x = 1,584,399.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.