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Finding the Third Proportional to 334,062 and 518,067

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Solution

The third proportional to 334,062 and 518,067 is: 803,423.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,062 : 518,067 = 518,067 : x
  2. Step 2: Convert to fraction form
    334,062/518,067 = 518,067/x
  3. Step 3: Cross multiply
    334,062x = 518,067 × 518,067
  4. Step 4: Simplify right side
    334,062x = 268,393,416,489
  5. Step 5: Solve for x
    x = 268,393,416,489/334,062
  6. Step 6: Final answer
    x = 803,423.96

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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.