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Finding the Third Proportional to 324,769.50 and 486,668.25

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Solution

The third proportional to 324,769.50 and 486,668.25 is: 729,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,769.50 : 486,668.25 = 486,668.25 : x
  2. Step 2: Convert to fraction form
    324,769.50/486,668.25 = 486,668.25/x
  3. Step 3: Cross multiply
    324,769.50x = 486,668.25 × 486,668.25
  4. Step 4: Simplify right side
    324,769.50x = 236,845,985,558.06
  5. Step 5: Solve for x
    x = 236,845,985,558.06/324,769.50
  6. Step 6: Final answer
    x = 729,274.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.