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Finding the Third Proportional to 269,858.25 and 561,593.25

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Solution

The third proportional to 269,858.25 and 561,593.25 is: 1,168,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,858.25 : 561,593.25 = 561,593.25 : x
  2. Step 2: Convert to fraction form
    269,858.25/561,593.25 = 561,593.25/x
  3. Step 3: Cross multiply
    269,858.25x = 561,593.25 × 561,593.25
  4. Step 4: Simplify right side
    269,858.25x = 315,386,978,445.56
  5. Step 5: Solve for x
    x = 315,386,978,445.56/269,858.25
  6. Step 6: Final answer
    x = 1,168,713.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.