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Finding the Third Proportional to 253,512 and 557,424

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Solution

The third proportional to 253,512 and 557,424 is: 1,225,667.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,512 : 557,424 = 557,424 : x
  2. Step 2: Convert to fraction form
    253,512/557,424 = 557,424/x
  3. Step 3: Cross multiply
    253,512x = 557,424 × 557,424
  4. Step 4: Simplify right side
    253,512x = 310,721,515,776
  5. Step 5: Solve for x
    x = 310,721,515,776/253,512
  6. Step 6: Final answer
    x = 1,225,667.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.