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Finding the Third Proportional to 503,965.50 and 780,325

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Solution

The third proportional to 503,965.50 and 780,325 is: 1,208,231.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,965.50 : 780,325 = 780,325 : x
  2. Step 2: Convert to fraction form
    503,965.50/780,325 = 780,325/x
  3. Step 3: Cross multiply
    503,965.50x = 780,325 × 780,325
  4. Step 4: Simplify right side
    503,965.50x = 608,907,105,625
  5. Step 5: Solve for x
    x = 608,907,105,625/503,965.50
  6. Step 6: Final answer
    x = 1,208,231.73

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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.