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Finding the Third Proportional to 519,999.75 and 798,923.25

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Solution

The third proportional to 519,999.75 and 798,923.25 is: 1,227,458.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,999.75 : 798,923.25 = 798,923.25 : x
  2. Step 2: Convert to fraction form
    519,999.75/798,923.25 = 798,923.25/x
  3. Step 3: Cross multiply
    519,999.75x = 798,923.25 × 798,923.25
  4. Step 4: Simplify right side
    519,999.75x = 638,278,359,390.56
  5. Step 5: Solve for x
    x = 638,278,359,390.56/519,999.75
  6. Step 6: Final answer
    x = 1,227,458.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.