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Finding the Third Proportional to 334,129.50 and 517,020.75

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Solution

The third proportional to 334,129.50 and 517,020.75 is: 800,020.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,129.50 : 517,020.75 = 517,020.75 : x
  2. Step 2: Convert to fraction form
    334,129.50/517,020.75 = 517,020.75/x
  3. Step 3: Cross multiply
    334,129.50x = 517,020.75 × 517,020.75
  4. Step 4: Simplify right side
    334,129.50x = 267,310,455,930.56
  5. Step 5: Solve for x
    x = 267,310,455,930.56/334,129.50
  6. Step 6: Final answer
    x = 800,020.52

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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.