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Finding the Third Proportional to 326,629.50 and 513,274.50

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Solution

The third proportional to 326,629.50 and 513,274.50 is: 806,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,629.50 : 513,274.50 = 513,274.50 : x
  2. Step 2: Convert to fraction form
    326,629.50/513,274.50 = 513,274.50/x
  3. Step 3: Cross multiply
    326,629.50x = 513,274.50 × 513,274.50
  4. Step 4: Simplify right side
    326,629.50x = 263,450,712,350.25
  5. Step 5: Solve for x
    x = 263,450,712,350.25/326,629.50
  6. Step 6: Final answer
    x = 806,573.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.