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Finding the Third Proportional to 253,860.75 and 557,535.38

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Solution

The third proportional to 253,860.75 and 557,535.38 is: 1,224,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,860.75 : 557,535.38 = 557,535.38 : x
  2. Step 2: Convert to fraction form
    253,860.75/557,535.38 = 557,535.38/x
  3. Step 3: Cross multiply
    253,860.75x = 557,535.38 × 557,535.38
  4. Step 4: Simplify right side
    253,860.75x = 310,845,694,376.39
  5. Step 5: Solve for x
    x = 310,845,694,376.39/253,860.75
  6. Step 6: Final answer
    x = 1,224,473.24

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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.