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Finding the Third Proportional to 324,079.31 and 490,596.75

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Solution

The third proportional to 324,079.31 and 490,596.75 is: 742,673.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,079.31 : 490,596.75 = 490,596.75 : x
  2. Step 2: Convert to fraction form
    324,079.31/490,596.75 = 490,596.75/x
  3. Step 3: Cross multiply
    324,079.31x = 490,596.75 × 490,596.75
  4. Step 4: Simplify right side
    324,079.31x = 240,685,171,110.56
  5. Step 5: Solve for x
    x = 240,685,171,110.56/324,079.31
  6. Step 6: Final answer
    x = 742,673.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.