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Finding the Third Proportional to 518,366.25 and 811,410.75

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Solution

The third proportional to 518,366.25 and 811,410.75 is: 1,270,120.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,366.25 : 811,410.75 = 811,410.75 : x
  2. Step 2: Convert to fraction form
    518,366.25/811,410.75 = 811,410.75/x
  3. Step 3: Cross multiply
    518,366.25x = 811,410.75 × 811,410.75
  4. Step 4: Simplify right side
    518,366.25x = 658,387,405,215.56
  5. Step 5: Solve for x
    x = 658,387,405,215.56/518,366.25
  6. Step 6: Final answer
    x = 1,270,120.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.