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Finding the Third Proportional to 325,692 and 717,644.25

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Solution

The third proportional to 325,692 and 717,644.25 is: 1,581,289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,692 : 717,644.25 = 717,644.25 : x
  2. Step 2: Convert to fraction form
    325,692/717,644.25 = 717,644.25/x
  3. Step 3: Cross multiply
    325,692x = 717,644.25 × 717,644.25
  4. Step 4: Simplify right side
    325,692x = 515,013,269,558.06
  5. Step 5: Solve for x
    x = 515,013,269,558.06/325,692
  6. Step 6: Final answer
    x = 1,581,289.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.