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Finding the Third Proportional to 282,794 and 585,278

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Solution

The third proportional to 282,794 and 585,278 is: 1,211,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,794 : 585,278 = 585,278 : x
  2. Step 2: Convert to fraction form
    282,794/585,278 = 585,278/x
  3. Step 3: Cross multiply
    282,794x = 585,278 × 585,278
  4. Step 4: Simplify right side
    282,794x = 342,550,337,284
  5. Step 5: Solve for x
    x = 342,550,337,284/282,794
  6. Step 6: Final answer
    x = 1,211,306.95

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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.