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Finding the Third Proportional to 350,384 and 753,256

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Solution

The third proportional to 350,384 and 753,256 is: 1,619,350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,384 : 753,256 = 753,256 : x
  2. Step 2: Convert to fraction form
    350,384/753,256 = 753,256/x
  3. Step 3: Cross multiply
    350,384x = 753,256 × 753,256
  4. Step 4: Simplify right side
    350,384x = 567,394,601,536
  5. Step 5: Solve for x
    x = 567,394,601,536/350,384
  6. Step 6: Final answer
    x = 1,619,350.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.