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Finding the Third Proportional to 239,858 and 528,012

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Solution

The third proportional to 239,858 and 528,012 is: 1,162,340.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,858 : 528,012 = 528,012 : x
  2. Step 2: Convert to fraction form
    239,858/528,012 = 528,012/x
  3. Step 3: Cross multiply
    239,858x = 528,012 × 528,012
  4. Step 4: Simplify right side
    239,858x = 278,796,672,144
  5. Step 5: Solve for x
    x = 278,796,672,144/239,858
  6. Step 6: Final answer
    x = 1,162,340.52

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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.