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Finding the Third Proportional to 523,659.94 and 800,707.78

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Solution

The third proportional to 523,659.94 and 800,707.78 is: 1,224,330.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,659.94 : 800,707.78 = 800,707.78 : x
  2. Step 2: Convert to fraction form
    523,659.94/800,707.78 = 800,707.78/x
  3. Step 3: Cross multiply
    523,659.94x = 800,707.78 × 800,707.78
  4. Step 4: Simplify right side
    523,659.94x = 641,132,950,954.30
  5. Step 5: Solve for x
    x = 641,132,950,954.30/523,659.94
  6. Step 6: Final answer
    x = 1,224,330.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.