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Finding the Third Proportional to 327,424 and 717,308

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Solution

The third proportional to 327,424 and 717,308 is: 1,571,450.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,424 : 717,308 = 717,308 : x
  2. Step 2: Convert to fraction form
    327,424/717,308 = 717,308/x
  3. Step 3: Cross multiply
    327,424x = 717,308 × 717,308
  4. Step 4: Simplify right side
    327,424x = 514,530,766,864
  5. Step 5: Solve for x
    x = 514,530,766,864/327,424
  6. Step 6: Final answer
    x = 1,571,450.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.