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Finding the Third Proportional to 244,842 and 527,016

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Solution

The third proportional to 244,842 and 527,016 is: 1,134,388.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,842 : 527,016 = 527,016 : x
  2. Step 2: Convert to fraction form
    244,842/527,016 = 527,016/x
  3. Step 3: Cross multiply
    244,842x = 527,016 × 527,016
  4. Step 4: Simplify right side
    244,842x = 277,745,864,256
  5. Step 5: Solve for x
    x = 277,745,864,256/244,842
  6. Step 6: Final answer
    x = 1,134,388.15

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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.