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Finding the Third Proportional to 252,524 and 557,536

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Solution

The third proportional to 252,524 and 557,536 is: 1,230,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,524 : 557,536 = 557,536 : x
  2. Step 2: Convert to fraction form
    252,524/557,536 = 557,536/x
  3. Step 3: Cross multiply
    252,524x = 557,536 × 557,536
  4. Step 4: Simplify right side
    252,524x = 310,846,391,296
  5. Step 5: Solve for x
    x = 310,846,391,296/252,524
  6. Step 6: Final answer
    x = 1,230,957.82

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.