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Finding the Third Proportional to 236,960 and 521,956

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Solution

The third proportional to 236,960 and 521,956 is: 1,149,721.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,960 : 521,956 = 521,956 : x
  2. Step 2: Convert to fraction form
    236,960/521,956 = 521,956/x
  3. Step 3: Cross multiply
    236,960x = 521,956 × 521,956
  4. Step 4: Simplify right side
    236,960x = 272,438,065,936
  5. Step 5: Solve for x
    x = 272,438,065,936/236,960
  6. Step 6: Final answer
    x = 1,149,721.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.