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Finding the Third Proportional to 454,329 and 703,399.50

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Solution

The third proportional to 454,329 and 703,399.50 is: 1,089,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,329 : 703,399.50 = 703,399.50 : x
  2. Step 2: Convert to fraction form
    454,329/703,399.50 = 703,399.50/x
  3. Step 3: Cross multiply
    454,329x = 703,399.50 × 703,399.50
  4. Step 4: Simplify right side
    454,329x = 494,770,856,600.25
  5. Step 5: Solve for x
    x = 494,770,856,600.25/454,329
  6. Step 6: Final answer
    x = 1,089,014.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.