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Finding the Third Proportional to 289,602 and 443,019.38

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Solution

The third proportional to 289,602 and 443,019.38 is: 677,709.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,602 : 443,019.38 = 443,019.38 : x
  2. Step 2: Convert to fraction form
    289,602/443,019.38 = 443,019.38/x
  3. Step 3: Cross multiply
    289,602x = 443,019.38 × 443,019.38
  4. Step 4: Simplify right side
    289,602x = 196,266,166,625.39
  5. Step 5: Solve for x
    x = 196,266,166,625.39/289,602
  6. Step 6: Final answer
    x = 677,709.98

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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.