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Finding the Third Proportional to 326,265 and 722,515.50

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Solution

The third proportional to 326,265 and 722,515.50 is: 1,600,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,265 : 722,515.50 = 722,515.50 : x
  2. Step 2: Convert to fraction form
    326,265/722,515.50 = 722,515.50/x
  3. Step 3: Cross multiply
    326,265x = 722,515.50 × 722,515.50
  4. Step 4: Simplify right side
    326,265x = 522,028,647,740.25
  5. Step 5: Solve for x
    x = 522,028,647,740.25/326,265
  6. Step 6: Final answer
    x = 1,600,014.25

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.