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Finding the Third Proportional to 373,556.25 and 825,612.75

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Solution

The third proportional to 373,556.25 and 825,612.75 is: 1,824,722.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,556.25 : 825,612.75 = 825,612.75 : x
  2. Step 2: Convert to fraction form
    373,556.25/825,612.75 = 825,612.75/x
  3. Step 3: Cross multiply
    373,556.25x = 825,612.75 × 825,612.75
  4. Step 4: Simplify right side
    373,556.25x = 681,636,412,962.56
  5. Step 5: Solve for x
    x = 681,636,412,962.56/373,556.25
  6. Step 6: Final answer
    x = 1,824,722.28

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.