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Finding the Third Proportional to 241,326 and 524,670

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Solution

The third proportional to 241,326 and 524,670 is: 1,140,691.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,326 : 524,670 = 524,670 : x
  2. Step 2: Convert to fraction form
    241,326/524,670 = 524,670/x
  3. Step 3: Cross multiply
    241,326x = 524,670 × 524,670
  4. Step 4: Simplify right side
    241,326x = 275,278,608,900
  5. Step 5: Solve for x
    x = 275,278,608,900/241,326
  6. Step 6: Final answer
    x = 1,140,691.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.