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Finding the Third Proportional to 417,865.50 and 626,793.75

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Solution

The third proportional to 417,865.50 and 626,793.75 is: 940,183.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,865.50 : 626,793.75 = 626,793.75 : x
  2. Step 2: Convert to fraction form
    417,865.50/626,793.75 = 626,793.75/x
  3. Step 3: Cross multiply
    417,865.50x = 626,793.75 × 626,793.75
  4. Step 4: Simplify right side
    417,865.50x = 392,870,405,039.06
  5. Step 5: Solve for x
    x = 392,870,405,039.06/417,865.50
  6. Step 6: Final answer
    x = 940,183.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.