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Finding the Third Proportional to 391,182.75 and 825,096.38

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Solution

The third proportional to 391,182.75 and 825,096.38 is: 1,740,322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,182.75 : 825,096.38 = 825,096.38 : x
  2. Step 2: Convert to fraction form
    391,182.75/825,096.38 = 825,096.38/x
  3. Step 3: Cross multiply
    391,182.75x = 825,096.38 × 825,096.38
  4. Step 4: Simplify right side
    391,182.75x = 680,784,028,038.14
  5. Step 5: Solve for x
    x = 680,784,028,038.14/391,182.75
  6. Step 6: Final answer
    x = 1,740,322.21

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.