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Finding the Third Proportional to 324,120 and 490,652

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Solution

The third proportional to 324,120 and 490,652 is: 742,747.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,120 : 490,652 = 490,652 : x
  2. Step 2: Convert to fraction form
    324,120/490,652 = 490,652/x
  3. Step 3: Cross multiply
    324,120x = 490,652 × 490,652
  4. Step 4: Simplify right side
    324,120x = 240,739,385,104
  5. Step 5: Solve for x
    x = 240,739,385,104/324,120
  6. Step 6: Final answer
    x = 742,747.70

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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.