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Finding the Third Proportional to 257,584.50 and 378,924.75

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Solution

The third proportional to 257,584.50 and 378,924.75 is: 557,424.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,584.50 : 378,924.75 = 378,924.75 : x
  2. Step 2: Convert to fraction form
    257,584.50/378,924.75 = 378,924.75/x
  3. Step 3: Cross multiply
    257,584.50x = 378,924.75 × 378,924.75
  4. Step 4: Simplify right side
    257,584.50x = 143,583,966,162.56
  5. Step 5: Solve for x
    x = 143,583,966,162.56/257,584.50
  6. Step 6: Final answer
    x = 557,424.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.