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Finding the Third Proportional to 239,860 and 528,016

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Solution

The third proportional to 239,860 and 528,016 is: 1,162,348.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,860 : 528,016 = 528,016 : x
  2. Step 2: Convert to fraction form
    239,860/528,016 = 528,016/x
  3. Step 3: Cross multiply
    239,860x = 528,016 × 528,016
  4. Step 4: Simplify right side
    239,860x = 278,800,896,256
  5. Step 5: Solve for x
    x = 278,800,896,256/239,860
  6. Step 6: Final answer
    x = 1,162,348.44

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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.