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Finding the Third Proportional to 230,642 and 501,652

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Solution

The third proportional to 230,642 and 501,652 is: 1,091,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,642 : 501,652 = 501,652 : x
  2. Step 2: Convert to fraction form
    230,642/501,652 = 501,652/x
  3. Step 3: Cross multiply
    230,642x = 501,652 × 501,652
  4. Step 4: Simplify right side
    230,642x = 251,654,729,104
  5. Step 5: Solve for x
    x = 251,654,729,104/230,642
  6. Step 6: Final answer
    x = 1,091,105.39

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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.