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Finding the Third Proportional to 282,786 and 585,256

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Solution

The third proportional to 282,786 and 585,256 is: 1,211,250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,786 : 585,256 = 585,256 : x
  2. Step 2: Convert to fraction form
    282,786/585,256 = 585,256/x
  3. Step 3: Cross multiply
    282,786x = 585,256 × 585,256
  4. Step 4: Simplify right side
    282,786x = 342,524,585,536
  5. Step 5: Solve for x
    x = 342,524,585,536/282,786
  6. Step 6: Final answer
    x = 1,211,250.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.