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Finding the Third Proportional to 438,879.75 and 943,232.25

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Solution

The third proportional to 438,879.75 and 943,232.25 is: 2,027,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,879.75 : 943,232.25 = 943,232.25 : x
  2. Step 2: Convert to fraction form
    438,879.75/943,232.25 = 943,232.25/x
  3. Step 3: Cross multiply
    438,879.75x = 943,232.25 × 943,232.25
  4. Step 4: Simplify right side
    438,879.75x = 889,687,077,440.06
  5. Step 5: Solve for x
    x = 889,687,077,440.06/438,879.75
  6. Step 6: Final answer
    x = 2,027,177.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.