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Finding the Third Proportional to 335,036 and 518,108

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Solution

The third proportional to 335,036 and 518,108 is: 801,215.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,036 : 518,108 = 518,108 : x
  2. Step 2: Convert to fraction form
    335,036/518,108 = 518,108/x
  3. Step 3: Cross multiply
    335,036x = 518,108 × 518,108
  4. Step 4: Simplify right side
    335,036x = 268,435,899,664
  5. Step 5: Solve for x
    x = 268,435,899,664/335,036
  6. Step 6: Final answer
    x = 801,215.09

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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.