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Finding the Third Proportional to 324,989 and 724,662.50

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Solution

The third proportional to 324,989 and 724,662.50 is: 1,615,856.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,989 : 724,662.50 = 724,662.50 : x
  2. Step 2: Convert to fraction form
    324,989/724,662.50 = 724,662.50/x
  3. Step 3: Cross multiply
    324,989x = 724,662.50 × 724,662.50
  4. Step 4: Simplify right side
    324,989x = 525,135,738,906.25
  5. Step 5: Solve for x
    x = 525,135,738,906.25/324,989
  6. Step 6: Final answer
    x = 1,615,856.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.