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Finding the Third Proportional to 322,991.25 and 495,786.75

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Solution

The third proportional to 322,991.25 and 495,786.75 is: 761,025.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,991.25 : 495,786.75 = 495,786.75 : x
  2. Step 2: Convert to fraction form
    322,991.25/495,786.75 = 495,786.75/x
  3. Step 3: Cross multiply
    322,991.25x = 495,786.75 × 495,786.75
  4. Step 4: Simplify right side
    322,991.25x = 245,804,501,475.56
  5. Step 5: Solve for x
    x = 245,804,501,475.56/322,991.25
  6. Step 6: Final answer
    x = 761,025.26

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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.