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Finding the Third Proportional to 322,105 and 727,725

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Solution

The third proportional to 322,105 and 727,725 is: 1,644,133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,105 : 727,725 = 727,725 : x
  2. Step 2: Convert to fraction form
    322,105/727,725 = 727,725/x
  3. Step 3: Cross multiply
    322,105x = 727,725 × 727,725
  4. Step 4: Simplify right side
    322,105x = 529,583,675,625
  5. Step 5: Solve for x
    x = 529,583,675,625/322,105
  6. Step 6: Final answer
    x = 1,644,133.67

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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.