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Finding the Third Proportional to 365,786.25 and 748,521.75

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Solution

The third proportional to 365,786.25 and 748,521.75 is: 1,531,727.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,786.25 : 748,521.75 = 748,521.75 : x
  2. Step 2: Convert to fraction form
    365,786.25/748,521.75 = 748,521.75/x
  3. Step 3: Cross multiply
    365,786.25x = 748,521.75 × 748,521.75
  4. Step 4: Simplify right side
    365,786.25x = 560,284,810,223.06
  5. Step 5: Solve for x
    x = 560,284,810,223.06/365,786.25
  6. Step 6: Final answer
    x = 1,531,727.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.