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Finding the Third Proportional to 309,856 and 656,912

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Solution

The third proportional to 309,856 and 656,912 is: 1,392,690.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,856 : 656,912 = 656,912 : x
  2. Step 2: Convert to fraction form
    309,856/656,912 = 656,912/x
  3. Step 3: Cross multiply
    309,856x = 656,912 × 656,912
  4. Step 4: Simplify right side
    309,856x = 431,533,375,744
  5. Step 5: Solve for x
    x = 431,533,375,744/309,856
  6. Step 6: Final answer
    x = 1,392,690.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.