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Finding the Third Proportional to 230,067 and 501,957

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Solution

The third proportional to 230,067 and 501,957 is: 1,095,162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,067 : 501,957 = 501,957 : x
  2. Step 2: Convert to fraction form
    230,067/501,957 = 501,957/x
  3. Step 3: Cross multiply
    230,067x = 501,957 × 501,957
  4. Step 4: Simplify right side
    230,067x = 251,960,829,849
  5. Step 5: Solve for x
    x = 251,960,829,849/230,067
  6. Step 6: Final answer
    x = 1,095,162.84

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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.