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Finding the Third Proportional to 239,251 and 521,969

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Solution

The third proportional to 239,251 and 521,969 is: 1,138,769.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,251 : 521,969 = 521,969 : x
  2. Step 2: Convert to fraction form
    239,251/521,969 = 521,969/x
  3. Step 3: Cross multiply
    239,251x = 521,969 × 521,969
  4. Step 4: Simplify right side
    239,251x = 272,451,636,961
  5. Step 5: Solve for x
    x = 272,451,636,961/239,251
  6. Step 6: Final answer
    x = 1,138,769.06

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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.