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Finding the Third Proportional to 253,408 and 544,256

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Solution

The third proportional to 253,408 and 544,256 is: 1,168,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,408 : 544,256 = 544,256 : x
  2. Step 2: Convert to fraction form
    253,408/544,256 = 544,256/x
  3. Step 3: Cross multiply
    253,408x = 544,256 × 544,256
  4. Step 4: Simplify right side
    253,408x = 296,214,593,536
  5. Step 5: Solve for x
    x = 296,214,593,536/253,408
  6. Step 6: Final answer
    x = 1,168,923.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.