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Finding the Third Proportional to 550,644.75 and 775,440.75

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Solution

The third proportional to 550,644.75 and 775,440.75 is: 1,092,007.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,644.75 : 775,440.75 = 775,440.75 : x
  2. Step 2: Convert to fraction form
    550,644.75/775,440.75 = 775,440.75/x
  3. Step 3: Cross multiply
    550,644.75x = 775,440.75 × 775,440.75
  4. Step 4: Simplify right side
    550,644.75x = 601,308,356,760.56
  5. Step 5: Solve for x
    x = 601,308,356,760.56/550,644.75
  6. Step 6: Final answer
    x = 1,092,007.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.