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Finding the Third Proportional to 239,256 and 521,977

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Solution

The third proportional to 239,256 and 521,977 is: 1,138,780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,256 : 521,977 = 521,977 : x
  2. Step 2: Convert to fraction form
    239,256/521,977 = 521,977/x
  3. Step 3: Cross multiply
    239,256x = 521,977 × 521,977
  4. Step 4: Simplify right side
    239,256x = 272,459,988,529
  5. Step 5: Solve for x
    x = 272,459,988,529/239,256
  6. Step 6: Final answer
    x = 1,138,780.17

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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.