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Finding the Third Proportional to 252,554 and 513,812

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Solution

The third proportional to 252,554 and 513,812 is: 1,045,331.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,554 : 513,812 = 513,812 : x
  2. Step 2: Convert to fraction form
    252,554/513,812 = 513,812/x
  3. Step 3: Cross multiply
    252,554x = 513,812 × 513,812
  4. Step 4: Simplify right side
    252,554x = 264,002,771,344
  5. Step 5: Solve for x
    x = 264,002,771,344/252,554
  6. Step 6: Final answer
    x = 1,045,331.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.