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Finding the Third Proportional to 417,212.96 and 856,543.68

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Solution

The third proportional to 417,212.96 and 856,543.68 is: 1,758,495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,212.96 : 856,543.68 = 856,543.68 : x
  2. Step 2: Convert to fraction form
    417,212.96/856,543.68 = 856,543.68/x
  3. Step 3: Cross multiply
    417,212.96x = 856,543.68 × 856,543.68
  4. Step 4: Simplify right side
    417,212.96x = 733,667,068,520.86
  5. Step 5: Solve for x
    x = 733,667,068,520.86/417,212.96
  6. Step 6: Final answer
    x = 1,758,495.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.