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Finding the Third Proportional to 360,331.03 and 765,108.28

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Solution

The third proportional to 360,331.03 and 765,108.28 is: 1,624,591.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,331.03 : 765,108.28 = 765,108.28 : x
  2. Step 2: Convert to fraction form
    360,331.03/765,108.28 = 765,108.28/x
  3. Step 3: Cross multiply
    360,331.03x = 765,108.28 × 765,108.28
  4. Step 4: Simplify right side
    360,331.03x = 585,390,682,037.33
  5. Step 5: Solve for x
    x = 585,390,682,037.33/360,331.03
  6. Step 6: Final answer
    x = 1,624,591.37

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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.