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Finding the Third Proportional to 257,529 and 378,848

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Solution

The third proportional to 257,529 and 378,848 is: 557,319.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,529 : 378,848 = 378,848 : x
  2. Step 2: Convert to fraction form
    257,529/378,848 = 378,848/x
  3. Step 3: Cross multiply
    257,529x = 378,848 × 378,848
  4. Step 4: Simplify right side
    257,529x = 143,525,807,104
  5. Step 5: Solve for x
    x = 143,525,807,104/257,529
  6. Step 6: Final answer
    x = 557,319.01

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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.