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Finding the Third Proportional to 344,945.25 and 754,015.50

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Solution

The third proportional to 344,945.25 and 754,015.50 is: 1,648,201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,945.25 : 754,015.50 = 754,015.50 : x
  2. Step 2: Convert to fraction form
    344,945.25/754,015.50 = 754,015.50/x
  3. Step 3: Cross multiply
    344,945.25x = 754,015.50 × 754,015.50
  4. Step 4: Simplify right side
    344,945.25x = 568,539,374,240.25
  5. Step 5: Solve for x
    x = 568,539,374,240.25/344,945.25
  6. Step 6: Final answer
    x = 1,648,201.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.