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Finding the Third Proportional to 257,578.50 and 378,917.50

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Solution

The third proportional to 257,578.50 and 378,917.50 is: 557,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,578.50 : 378,917.50 = 378,917.50 : x
  2. Step 2: Convert to fraction form
    257,578.50/378,917.50 = 378,917.50/x
  3. Step 3: Cross multiply
    257,578.50x = 378,917.50 × 378,917.50
  4. Step 4: Simplify right side
    257,578.50x = 143,578,471,806.25
  5. Step 5: Solve for x
    x = 143,578,471,806.25/257,578.50
  6. Step 6: Final answer
    x = 557,416.37

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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.