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Finding the Third Proportional to 214,929.70 and 467,175.09

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Solution

The third proportional to 214,929.70 and 467,175.09 is: 1,015,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,929.70 : 467,175.09 = 467,175.09 : x
  2. Step 2: Convert to fraction form
    214,929.70/467,175.09 = 467,175.09/x
  3. Step 3: Cross multiply
    214,929.70x = 467,175.09 × 467,175.09
  4. Step 4: Simplify right side
    214,929.70x = 218,252,568,220.32
  5. Step 5: Solve for x
    x = 218,252,568,220.32/214,929.70
  6. Step 6: Final answer
    x = 1,015,460.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.