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Finding the Third Proportional to 268,227 and 558,495

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Solution

The third proportional to 268,227 and 558,495 is: 1,162,883.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,227 : 558,495 = 558,495 : x
  2. Step 2: Convert to fraction form
    268,227/558,495 = 558,495/x
  3. Step 3: Cross multiply
    268,227x = 558,495 × 558,495
  4. Step 4: Simplify right side
    268,227x = 311,916,665,025
  5. Step 5: Solve for x
    x = 311,916,665,025/268,227
  6. Step 6: Final answer
    x = 1,162,883.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.