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Finding the Third Proportional to 252,545 and 513,794

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Solution

The third proportional to 252,545 and 513,794 is: 1,045,295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,545 : 513,794 = 513,794 : x
  2. Step 2: Convert to fraction form
    252,545/513,794 = 513,794/x
  3. Step 3: Cross multiply
    252,545x = 513,794 × 513,794
  4. Step 4: Simplify right side
    252,545x = 263,984,274,436
  5. Step 5: Solve for x
    x = 263,984,274,436/252,545
  6. Step 6: Final answer
    x = 1,045,295.98

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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.