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Finding the Third Proportional to 241,536 and 520,272

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Solution

The third proportional to 241,536 and 520,272 is: 1,120,673.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,536 : 520,272 = 520,272 : x
  2. Step 2: Convert to fraction form
    241,536/520,272 = 520,272/x
  3. Step 3: Cross multiply
    241,536x = 520,272 × 520,272
  4. Step 4: Simplify right side
    241,536x = 270,682,953,984
  5. Step 5: Solve for x
    x = 270,682,953,984/241,536
  6. Step 6: Final answer
    x = 1,120,673.33

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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.