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Finding the Third Proportional to 307,226 and 635,766

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Solution

The third proportional to 307,226 and 635,766 is: 1,315,638.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,226 : 635,766 = 635,766 : x
  2. Step 2: Convert to fraction form
    307,226/635,766 = 635,766/x
  3. Step 3: Cross multiply
    307,226x = 635,766 × 635,766
  4. Step 4: Simplify right side
    307,226x = 404,198,406,756
  5. Step 5: Solve for x
    x = 404,198,406,756/307,226
  6. Step 6: Final answer
    x = 1,315,638.67

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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.