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Finding the Third Proportional to 250,869 and 536,082

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Solution

The third proportional to 250,869 and 536,082 is: 1,145,553.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,869 : 536,082 = 536,082 : x
  2. Step 2: Convert to fraction form
    250,869/536,082 = 536,082/x
  3. Step 3: Cross multiply
    250,869x = 536,082 × 536,082
  4. Step 4: Simplify right side
    250,869x = 287,383,910,724
  5. Step 5: Solve for x
    x = 287,383,910,724/250,869
  6. Step 6: Final answer
    x = 1,145,553.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.