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Finding the Third Proportional to 269,200 and 585,544

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Solution

The third proportional to 269,200 and 585,544 is: 1,273,632.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,200 : 585,544 = 585,544 : x
  2. Step 2: Convert to fraction form
    269,200/585,544 = 585,544/x
  3. Step 3: Cross multiply
    269,200x = 585,544 × 585,544
  4. Step 4: Simplify right side
    269,200x = 342,861,775,936
  5. Step 5: Solve for x
    x = 342,861,775,936/269,200
  6. Step 6: Final answer
    x = 1,273,632.15

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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.