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Finding the Third Proportional to 289,773 and 443,266.50

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Solution

The third proportional to 289,773 and 443,266.50 is: 678,065.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,773 : 443,266.50 = 443,266.50 : x
  2. Step 2: Convert to fraction form
    289,773/443,266.50 = 443,266.50/x
  3. Step 3: Cross multiply
    289,773x = 443,266.50 × 443,266.50
  4. Step 4: Simplify right side
    289,773x = 196,485,190,022.25
  5. Step 5: Solve for x
    x = 196,485,190,022.25/289,773
  6. Step 6: Final answer
    x = 678,065.90

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.