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Finding the Third Proportional to 323,735.25 and 479,322.75

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Solution

The third proportional to 323,735.25 and 479,322.75 is: 709,685.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,735.25 : 479,322.75 = 479,322.75 : x
  2. Step 2: Convert to fraction form
    323,735.25/479,322.75 = 479,322.75/x
  3. Step 3: Cross multiply
    323,735.25x = 479,322.75 × 479,322.75
  4. Step 4: Simplify right side
    323,735.25x = 229,750,298,667.56
  5. Step 5: Solve for x
    x = 229,750,298,667.56/323,735.25
  6. Step 6: Final answer
    x = 709,685.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.