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Finding the Third Proportional to 381,996 and 837,438.75

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Solution

The third proportional to 381,996 and 837,438.75 is: 1,835,892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,996 : 837,438.75 = 837,438.75 : x
  2. Step 2: Convert to fraction form
    381,996/837,438.75 = 837,438.75/x
  3. Step 3: Cross multiply
    381,996x = 837,438.75 × 837,438.75
  4. Step 4: Simplify right side
    381,996x = 701,303,660,001.56
  5. Step 5: Solve for x
    x = 701,303,660,001.56/381,996
  6. Step 6: Final answer
    x = 1,835,892.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.