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Finding the Third Proportional to 282,756 and 585,195

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Solution

The third proportional to 282,756 and 585,195 is: 1,211,126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,756 : 585,195 = 585,195 : x
  2. Step 2: Convert to fraction form
    282,756/585,195 = 585,195/x
  3. Step 3: Cross multiply
    282,756x = 585,195 × 585,195
  4. Step 4: Simplify right side
    282,756x = 342,453,188,025
  5. Step 5: Solve for x
    x = 342,453,188,025/282,756
  6. Step 6: Final answer
    x = 1,211,126.16

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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.