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Finding the Third Proportional to 276,709.50 and 423,093.38

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Solution

The third proportional to 276,709.50 and 423,093.38 is: 646,916.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,709.50 : 423,093.38 = 423,093.38 : x
  2. Step 2: Convert to fraction form
    276,709.50/423,093.38 = 423,093.38/x
  3. Step 3: Cross multiply
    276,709.50x = 423,093.38 × 423,093.38
  4. Step 4: Simplify right side
    276,709.50x = 179,008,003,968.89
  5. Step 5: Solve for x
    x = 179,008,003,968.89/276,709.50
  6. Step 6: Final answer
    x = 646,916.73

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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.