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Finding the Third Proportional to 324,130 and 490,667

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Solution

The third proportional to 324,130 and 490,667 is: 742,770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,130 : 490,667 = 490,667 : x
  2. Step 2: Convert to fraction form
    324,130/490,667 = 490,667/x
  3. Step 3: Cross multiply
    324,130x = 490,667 × 490,667
  4. Step 4: Simplify right side
    324,130x = 240,754,104,889
  5. Step 5: Solve for x
    x = 240,754,104,889/324,130
  6. Step 6: Final answer
    x = 742,770.20

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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.