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Finding the Third Proportional to 239,530 and 521,584

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Solution

The third proportional to 239,530 and 521,584 is: 1,135,765.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,530 : 521,584 = 521,584 : x
  2. Step 2: Convert to fraction form
    239,530/521,584 = 521,584/x
  3. Step 3: Cross multiply
    239,530x = 521,584 × 521,584
  4. Step 4: Simplify right side
    239,530x = 272,049,869,056
  5. Step 5: Solve for x
    x = 272,049,869,056/239,530
  6. Step 6: Final answer
    x = 1,135,765.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.