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Finding the Third Proportional to 335,067 and 518,153

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Solution

The third proportional to 335,067 and 518,153 is: 801,280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,067 : 518,153 = 518,153 : x
  2. Step 2: Convert to fraction form
    335,067/518,153 = 518,153/x
  3. Step 3: Cross multiply
    335,067x = 518,153 × 518,153
  4. Step 4: Simplify right side
    335,067x = 268,482,531,409
  5. Step 5: Solve for x
    x = 268,482,531,409/335,067
  6. Step 6: Final answer
    x = 801,280.14

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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.