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Finding the Third Proportional to 230,904 and 501,180

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Solution

The third proportional to 230,904 and 501,180 is: 1,087,817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,904 : 501,180 = 501,180 : x
  2. Step 2: Convert to fraction form
    230,904/501,180 = 501,180/x
  3. Step 3: Cross multiply
    230,904x = 501,180 × 501,180
  4. Step 4: Simplify right side
    230,904x = 251,181,392,400
  5. Step 5: Solve for x
    x = 251,181,392,400/230,904
  6. Step 6: Final answer
    x = 1,087,817.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.