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Finding the Third Proportional to 344,309.75 and 484,003.25

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Solution

The third proportional to 344,309.75 and 484,003.25 is: 680,373.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,309.75 : 484,003.25 = 484,003.25 : x
  2. Step 2: Convert to fraction form
    344,309.75/484,003.25 = 484,003.25/x
  3. Step 3: Cross multiply
    344,309.75x = 484,003.25 × 484,003.25
  4. Step 4: Simplify right side
    344,309.75x = 234,259,146,010.56
  5. Step 5: Solve for x
    x = 234,259,146,010.56/344,309.75
  6. Step 6: Final answer
    x = 680,373.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.