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Finding the Third Proportional to 326,639.25 and 513,290.25

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Solution

The third proportional to 326,639.25 and 513,290.25 is: 806,598.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,639.25 : 513,290.25 = 513,290.25 : x
  2. Step 2: Convert to fraction form
    326,639.25/513,290.25 = 513,290.25/x
  3. Step 3: Cross multiply
    326,639.25x = 513,290.25 × 513,290.25
  4. Step 4: Simplify right side
    326,639.25x = 263,466,880,745.06
  5. Step 5: Solve for x
    x = 263,466,880,745.06/326,639.25
  6. Step 6: Final answer
    x = 806,598.96

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