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Finding the Third Proportional to 257,496 and 538,512

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Solution

The third proportional to 257,496 and 538,512 is: 1,126,212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,496 : 538,512 = 538,512 : x
  2. Step 2: Convert to fraction form
    257,496/538,512 = 538,512/x
  3. Step 3: Cross multiply
    257,496x = 538,512 × 538,512
  4. Step 4: Simplify right side
    257,496x = 289,995,174,144
  5. Step 5: Solve for x
    x = 289,995,174,144/257,496
  6. Step 6: Final answer
    x = 1,126,212.35

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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.