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Finding the Third Proportional to 422,233.50 and 654,772.50

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Solution

The third proportional to 422,233.50 and 654,772.50 is: 1,015,378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,233.50 : 654,772.50 = 654,772.50 : x
  2. Step 2: Convert to fraction form
    422,233.50/654,772.50 = 654,772.50/x
  3. Step 3: Cross multiply
    422,233.50x = 654,772.50 × 654,772.50
  4. Step 4: Simplify right side
    422,233.50x = 428,727,026,756.25
  5. Step 5: Solve for x
    x = 428,727,026,756.25/422,233.50
  6. Step 6: Final answer
    x = 1,015,378.99

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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.