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Finding the Third Proportional to 338,789.25 and 495,450

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Solution

The third proportional to 338,789.25 and 495,450 is: 724,552.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,789.25 : 495,450 = 495,450 : x
  2. Step 2: Convert to fraction form
    338,789.25/495,450 = 495,450/x
  3. Step 3: Cross multiply
    338,789.25x = 495,450 × 495,450
  4. Step 4: Simplify right side
    338,789.25x = 245,470,702,500
  5. Step 5: Solve for x
    x = 245,470,702,500/338,789.25
  6. Step 6: Final answer
    x = 724,552.81

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