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Finding the Third Proportional to 323,534.25 and 693,906.75

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Solution

The third proportional to 323,534.25 and 693,906.75 is: 1,488,270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,534.25 : 693,906.75 = 693,906.75 : x
  2. Step 2: Convert to fraction form
    323,534.25/693,906.75 = 693,906.75/x
  3. Step 3: Cross multiply
    323,534.25x = 693,906.75 × 693,906.75
  4. Step 4: Simplify right side
    323,534.25x = 481,506,577,695.56
  5. Step 5: Solve for x
    x = 481,506,577,695.56/323,534.25
  6. Step 6: Final answer
    x = 1,488,270.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.