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Finding the Third Proportional to 241,252 and 527,204

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Solution

The third proportional to 241,252 and 527,204 is: 1,152,090.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,252 : 527,204 = 527,204 : x
  2. Step 2: Convert to fraction form
    241,252/527,204 = 527,204/x
  3. Step 3: Cross multiply
    241,252x = 527,204 × 527,204
  4. Step 4: Simplify right side
    241,252x = 277,944,057,616
  5. Step 5: Solve for x
    x = 277,944,057,616/241,252
  6. Step 6: Final answer
    x = 1,152,090.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.