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Finding the Third Proportional to 327,577.50 and 694,519.50

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Solution

The third proportional to 327,577.50 and 694,519.50 is: 1,472,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,577.50 : 694,519.50 = 694,519.50 : x
  2. Step 2: Convert to fraction form
    327,577.50/694,519.50 = 694,519.50/x
  3. Step 3: Cross multiply
    327,577.50x = 694,519.50 × 694,519.50
  4. Step 4: Simplify right side
    327,577.50x = 482,357,335,880.25
  5. Step 5: Solve for x
    x = 482,357,335,880.25/327,577.50
  6. Step 6: Final answer
    x = 1,472,498.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.