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Finding the Third Proportional to 327,145.50 and 479,918.25

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Solution

The third proportional to 327,145.50 and 479,918.25 is: 704,033.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,145.50 : 479,918.25 = 479,918.25 : x
  2. Step 2: Convert to fraction form
    327,145.50/479,918.25 = 479,918.25/x
  3. Step 3: Cross multiply
    327,145.50x = 479,918.25 × 479,918.25
  4. Step 4: Simplify right side
    327,145.50x = 230,321,526,683.06
  5. Step 5: Solve for x
    x = 230,321,526,683.06/327,145.50
  6. Step 6: Final answer
    x = 704,033.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.