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Finding the Third Proportional to 253,714 and 557,649

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Solution

The third proportional to 253,714 and 557,649 is: 1,225,680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,714 : 557,649 = 557,649 : x
  2. Step 2: Convert to fraction form
    253,714/557,649 = 557,649/x
  3. Step 3: Cross multiply
    253,714x = 557,649 × 557,649
  4. Step 4: Simplify right side
    253,714x = 310,972,407,201
  5. Step 5: Solve for x
    x = 310,972,407,201/253,714
  6. Step 6: Final answer
    x = 1,225,680.91

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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.