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Finding the Third Proportional to 414,442.50 and 641,893.50

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Solution

The third proportional to 414,442.50 and 641,893.50 is: 994,172.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,442.50 : 641,893.50 = 641,893.50 : x
  2. Step 2: Convert to fraction form
    414,442.50/641,893.50 = 641,893.50/x
  3. Step 3: Cross multiply
    414,442.50x = 641,893.50 × 641,893.50
  4. Step 4: Simplify right side
    414,442.50x = 412,027,265,342.25
  5. Step 5: Solve for x
    x = 412,027,265,342.25/414,442.50
  6. Step 6: Final answer
    x = 994,172.33

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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.