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Finding the Third Proportional to 213,794.25 and 460,728.75

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Solution

The third proportional to 213,794.25 and 460,728.75 is: 992,875.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,794.25 : 460,728.75 = 460,728.75 : x
  2. Step 2: Convert to fraction form
    213,794.25/460,728.75 = 460,728.75/x
  3. Step 3: Cross multiply
    213,794.25x = 460,728.75 × 460,728.75
  4. Step 4: Simplify right side
    213,794.25x = 212,270,981,076.56
  5. Step 5: Solve for x
    x = 212,270,981,076.56/213,794.25
  6. Step 6: Final answer
    x = 992,875.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.