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Finding the Third Proportional to 331,406 and 518,435.50

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Solution

The third proportional to 331,406 and 518,435.50 is: 811,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,406 : 518,435.50 = 518,435.50 : x
  2. Step 2: Convert to fraction form
    331,406/518,435.50 = 518,435.50/x
  3. Step 3: Cross multiply
    331,406x = 518,435.50 × 518,435.50
  4. Step 4: Simplify right side
    331,406x = 268,775,367,660.25
  5. Step 5: Solve for x
    x = 268,775,367,660.25/331,406
  6. Step 6: Final answer
    x = 811,015.39

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.