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Finding the Third Proportional to 414,440.50 and 641,890

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Solution

The third proportional to 414,440.50 and 641,890 is: 994,166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,440.50 : 641,890 = 641,890 : x
  2. Step 2: Convert to fraction form
    414,440.50/641,890 = 641,890/x
  3. Step 3: Cross multiply
    414,440.50x = 641,890 × 641,890
  4. Step 4: Simplify right side
    414,440.50x = 412,022,772,100
  5. Step 5: Solve for x
    x = 412,022,772,100/414,440.50
  6. Step 6: Final answer
    x = 994,166.28

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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.