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Finding the Third Proportional to 253,970 and 557,782

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Solution

The third proportional to 253,970 and 557,782 is: 1,225,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,970 : 557,782 = 557,782 : x
  2. Step 2: Convert to fraction form
    253,970/557,782 = 557,782/x
  3. Step 3: Cross multiply
    253,970x = 557,782 × 557,782
  4. Step 4: Simplify right side
    253,970x = 311,120,759,524
  5. Step 5: Solve for x
    x = 311,120,759,524/253,970
  6. Step 6: Final answer
    x = 1,225,029.57

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