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Finding the Third Proportional to 257,496 and 538,524

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Solution

The third proportional to 257,496 and 538,524 is: 1,126,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,496 : 538,524 = 538,524 : x
  2. Step 2: Convert to fraction form
    257,496/538,524 = 538,524/x
  3. Step 3: Cross multiply
    257,496x = 538,524 × 538,524
  4. Step 4: Simplify right side
    257,496x = 290,008,098,576
  5. Step 5: Solve for x
    x = 290,008,098,576/257,496
  6. Step 6: Final answer
    x = 1,126,262.54

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.