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Finding the Third Proportional to 301,717.25 and 415,618.75

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Solution

The third proportional to 301,717.25 and 415,618.75 is: 572,519.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,717.25 : 415,618.75 = 415,618.75 : x
  2. Step 2: Convert to fraction form
    301,717.25/415,618.75 = 415,618.75/x
  3. Step 3: Cross multiply
    301,717.25x = 415,618.75 × 415,618.75
  4. Step 4: Simplify right side
    301,717.25x = 172,738,945,351.56
  5. Step 5: Solve for x
    x = 172,738,945,351.56/301,717.25
  6. Step 6: Final answer
    x = 572,519.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.