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Finding the Third Proportional to 322,152.19 and 727,843.22

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Solution

The third proportional to 322,152.19 and 727,843.22 is: 1,644,426.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,152.19 : 727,843.22 = 727,843.22 : x
  2. Step 2: Convert to fraction form
    322,152.19/727,843.22 = 727,843.22/x
  3. Step 3: Cross multiply
    322,152.19x = 727,843.22 × 727,843.22
  4. Step 4: Simplify right side
    322,152.19x = 529,755,751,080.36
  5. Step 5: Solve for x
    x = 529,755,751,080.36/322,152.19
  6. Step 6: Final answer
    x = 1,644,426.99

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.