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Finding the Third Proportional to 519,351.75 and 811,833.75

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Solution

The third proportional to 519,351.75 and 811,833.75 is: 1,269,032.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,351.75 : 811,833.75 = 811,833.75 : x
  2. Step 2: Convert to fraction form
    519,351.75/811,833.75 = 811,833.75/x
  3. Step 3: Cross multiply
    519,351.75x = 811,833.75 × 811,833.75
  4. Step 4: Simplify right side
    519,351.75x = 659,074,037,639.06
  5. Step 5: Solve for x
    x = 659,074,037,639.06/519,351.75
  6. Step 6: Final answer
    x = 1,269,032.09

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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.