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Finding the Third Proportional to 208,512 and 458,496

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Solution

The third proportional to 208,512 and 458,496 is: 1,008,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,512 : 458,496 = 458,496 : x
  2. Step 2: Convert to fraction form
    208,512/458,496 = 458,496/x
  3. Step 3: Cross multiply
    208,512x = 458,496 × 458,496
  4. Step 4: Simplify right side
    208,512x = 210,218,582,016
  5. Step 5: Solve for x
    x = 210,218,582,016/208,512
  6. Step 6: Final answer
    x = 1,008,184.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.