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Finding the Third Proportional to 213,195.38 and 463,974.75

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Solution

The third proportional to 213,195.38 and 463,974.75 is: 1,009,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,195.38 : 463,974.75 = 463,974.75 : x
  2. Step 2: Convert to fraction form
    213,195.38/463,974.75 = 463,974.75/x
  3. Step 3: Cross multiply
    213,195.38x = 463,974.75 × 463,974.75
  4. Step 4: Simplify right side
    213,195.38x = 215,272,568,637.56
  5. Step 5: Solve for x
    x = 215,272,568,637.56/213,195.38
  6. Step 6: Final answer
    x = 1,009,743.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.