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Finding the Third Proportional to 365,388.75 and 797,177.25

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Solution

The third proportional to 365,388.75 and 797,177.25 is: 1,739,220.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,388.75 : 797,177.25 = 797,177.25 : x
  2. Step 2: Convert to fraction form
    365,388.75/797,177.25 = 797,177.25/x
  3. Step 3: Cross multiply
    365,388.75x = 797,177.25 × 797,177.25
  4. Step 4: Simplify right side
    365,388.75x = 635,491,567,917.56
  5. Step 5: Solve for x
    x = 635,491,567,917.56/365,388.75
  6. Step 6: Final answer
    x = 1,739,220.40

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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.