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Finding the Third Proportional to 326,166.75 and 661,504.50

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Solution

The third proportional to 326,166.75 and 661,504.50 is: 1,341,608.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,166.75 : 661,504.50 = 661,504.50 : x
  2. Step 2: Convert to fraction form
    326,166.75/661,504.50 = 661,504.50/x
  3. Step 3: Cross multiply
    326,166.75x = 661,504.50 × 661,504.50
  4. Step 4: Simplify right side
    326,166.75x = 437,588,203,520.25
  5. Step 5: Solve for x
    x = 437,588,203,520.25/326,166.75
  6. Step 6: Final answer
    x = 1,341,608.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.