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Finding the Third Proportional to 436,714 and 950,314

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Solution

The third proportional to 436,714 and 950,314 is: 2,067,936.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,714 : 950,314 = 950,314 : x
  2. Step 2: Convert to fraction form
    436,714/950,314 = 950,314/x
  3. Step 3: Cross multiply
    436,714x = 950,314 × 950,314
  4. Step 4: Simplify right side
    436,714x = 903,096,698,596
  5. Step 5: Solve for x
    x = 903,096,698,596/436,714
  6. Step 6: Final answer
    x = 2,067,936.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.