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Finding the Third Proportional to 252,508 and 550,208

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Solution

The third proportional to 252,508 and 550,208 is: 1,198,888.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,508 : 550,208 = 550,208 : x
  2. Step 2: Convert to fraction form
    252,508/550,208 = 550,208/x
  3. Step 3: Cross multiply
    252,508x = 550,208 × 550,208
  4. Step 4: Simplify right side
    252,508x = 302,728,843,264
  5. Step 5: Solve for x
    x = 302,728,843,264/252,508
  6. Step 6: Final answer
    x = 1,198,888.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.