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Finding the Third Proportional to 439,216 and 958,744

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Solution

The third proportional to 439,216 and 958,744 is: 2,092,797.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,216 : 958,744 = 958,744 : x
  2. Step 2: Convert to fraction form
    439,216/958,744 = 958,744/x
  3. Step 3: Cross multiply
    439,216x = 958,744 × 958,744
  4. Step 4: Simplify right side
    439,216x = 919,190,057,536
  5. Step 5: Solve for x
    x = 919,190,057,536/439,216
  6. Step 6: Final answer
    x = 2,092,797.30

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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.