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Finding the Third Proportional to 282,771 and 585,225

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Solution

The third proportional to 282,771 and 585,225 is: 1,211,186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,771 : 585,225 = 585,225 : x
  2. Step 2: Convert to fraction form
    282,771/585,225 = 585,225/x
  3. Step 3: Cross multiply
    282,771x = 585,225 × 585,225
  4. Step 4: Simplify right side
    282,771x = 342,488,300,625
  5. Step 5: Solve for x
    x = 342,488,300,625/282,771
  6. Step 6: Final answer
    x = 1,211,186.09

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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.