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Finding the Third Proportional to 299,481.75 and 648,758.25

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Solution

The third proportional to 299,481.75 and 648,758.25 is: 1,405,385.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,481.75 : 648,758.25 = 648,758.25 : x
  2. Step 2: Convert to fraction form
    299,481.75/648,758.25 = 648,758.25/x
  3. Step 3: Cross multiply
    299,481.75x = 648,758.25 × 648,758.25
  4. Step 4: Simplify right side
    299,481.75x = 420,887,266,943.06
  5. Step 5: Solve for x
    x = 420,887,266,943.06/299,481.75
  6. Step 6: Final answer
    x = 1,405,385.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.