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Finding the Third Proportional to 439,199 and 958,714

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Solution

The third proportional to 439,199 and 958,714 is: 2,092,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,199 : 958,714 = 958,714 : x
  2. Step 2: Convert to fraction form
    439,199/958,714 = 958,714/x
  3. Step 3: Cross multiply
    439,199x = 958,714 × 958,714
  4. Step 4: Simplify right side
    439,199x = 919,132,533,796
  5. Step 5: Solve for x
    x = 919,132,533,796/439,199
  6. Step 6: Final answer
    x = 2,092,747.33

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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.