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Finding the Third Proportional to 509,096.39 and 754,837.73

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Solution

The third proportional to 509,096.39 and 754,837.73 is: 1,119,198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,096.39 : 754,837.73 = 754,837.73 : x
  2. Step 2: Convert to fraction form
    509,096.39/754,837.73 = 754,837.73/x
  3. Step 3: Cross multiply
    509,096.39x = 754,837.73 × 754,837.73
  4. Step 4: Simplify right side
    509,096.39x = 569,780,005,236.38
  5. Step 5: Solve for x
    x = 569,780,005,236.38/509,096.39
  6. Step 6: Final answer
    x = 1,119,198.67

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.