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Finding the Third Proportional to 253,825.50 and 557,853

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Solution

The third proportional to 253,825.50 and 557,853 is: 1,226,039.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,825.50 : 557,853 = 557,853 : x
  2. Step 2: Convert to fraction form
    253,825.50/557,853 = 557,853/x
  3. Step 3: Cross multiply
    253,825.50x = 557,853 × 557,853
  4. Step 4: Simplify right side
    253,825.50x = 311,199,969,609
  5. Step 5: Solve for x
    x = 311,199,969,609/253,825.50
  6. Step 6: Final answer
    x = 1,226,039.03

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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.