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Finding the Third Proportional to 338,716.75 and 495,358.75

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Solution

The third proportional to 338,716.75 and 495,358.75 is: 724,440.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,716.75 : 495,358.75 = 495,358.75 : x
  2. Step 2: Convert to fraction form
    338,716.75/495,358.75 = 495,358.75/x
  3. Step 3: Cross multiply
    338,716.75x = 495,358.75 × 495,358.75
  4. Step 4: Simplify right side
    338,716.75x = 245,380,291,201.56
  5. Step 5: Solve for x
    x = 245,380,291,201.56/338,716.75
  6. Step 6: Final answer
    x = 724,440.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.