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Finding the Third Proportional to 335,033.50 and 518,103

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Solution

The third proportional to 335,033.50 and 518,103 is: 801,205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,033.50 : 518,103 = 518,103 : x
  2. Step 2: Convert to fraction form
    335,033.50/518,103 = 518,103/x
  3. Step 3: Cross multiply
    335,033.50x = 518,103 × 518,103
  4. Step 4: Simplify right side
    335,033.50x = 268,430,718,609
  5. Step 5: Solve for x
    x = 268,430,718,609/335,033.50
  6. Step 6: Final answer
    x = 801,205.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.