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Finding the Third Proportional to 318,003 and 445,684.50

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Solution

The third proportional to 318,003 and 445,684.50 is: 624,631.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,003 : 445,684.50 = 445,684.50 : x
  2. Step 2: Convert to fraction form
    318,003/445,684.50 = 445,684.50/x
  3. Step 3: Cross multiply
    318,003x = 445,684.50 × 445,684.50
  4. Step 4: Simplify right side
    318,003x = 198,634,673,540.25
  5. Step 5: Solve for x
    x = 198,634,673,540.25/318,003
  6. Step 6: Final answer
    x = 624,631.45

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.