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Finding the Third Proportional to 258,221 and 557,230

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Solution

The third proportional to 258,221 and 557,230 is: 1,202,478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,221 : 557,230 = 557,230 : x
  2. Step 2: Convert to fraction form
    258,221/557,230 = 557,230/x
  3. Step 3: Cross multiply
    258,221x = 557,230 × 557,230
  4. Step 4: Simplify right side
    258,221x = 310,505,272,900
  5. Step 5: Solve for x
    x = 310,505,272,900/258,221
  6. Step 6: Final answer
    x = 1,202,478.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.