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Finding the Third Proportional to 230,069 and 501,961

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Solution

The third proportional to 230,069 and 501,961 is: 1,095,170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,069 : 501,961 = 501,961 : x
  2. Step 2: Convert to fraction form
    230,069/501,961 = 501,961/x
  3. Step 3: Cross multiply
    230,069x = 501,961 × 501,961
  4. Step 4: Simplify right side
    230,069x = 251,964,845,521
  5. Step 5: Solve for x
    x = 251,964,845,521/230,069
  6. Step 6: Final answer
    x = 1,095,170.78

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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.