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Finding the Third Proportional to 241,270 and 515,665

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Solution

The third proportional to 241,270 and 515,665 is: 1,102,127.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,270 : 515,665 = 515,665 : x
  2. Step 2: Convert to fraction form
    241,270/515,665 = 515,665/x
  3. Step 3: Cross multiply
    241,270x = 515,665 × 515,665
  4. Step 4: Simplify right side
    241,270x = 265,910,392,225
  5. Step 5: Solve for x
    x = 265,910,392,225/241,270
  6. Step 6: Final answer
    x = 1,102,127.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.