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Finding the Third Proportional to 320,991.13 and 759,108.25

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Solution

The third proportional to 320,991.13 and 759,108.25 is: 1,795,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,991.13 : 759,108.25 = 759,108.25 : x
  2. Step 2: Convert to fraction form
    320,991.13/759,108.25 = 759,108.25/x
  3. Step 3: Cross multiply
    320,991.13x = 759,108.25 × 759,108.25
  4. Step 4: Simplify right side
    320,991.13x = 576,245,335,218.06
  5. Step 5: Solve for x
    x = 576,245,335,218.06/320,991.13
  6. Step 6: Final answer
    x = 1,795,206.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.