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Finding the Third Proportional to 239,856 and 528,006

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Solution

The third proportional to 239,856 and 528,006 is: 1,162,323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,856 : 528,006 = 528,006 : x
  2. Step 2: Convert to fraction form
    239,856/528,006 = 528,006/x
  3. Step 3: Cross multiply
    239,856x = 528,006 × 528,006
  4. Step 4: Simplify right side
    239,856x = 278,790,336,036
  5. Step 5: Solve for x
    x = 278,790,336,036/239,856
  6. Step 6: Final answer
    x = 1,162,323.79

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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.