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Finding the Third Proportional to 299,337.75 and 650,342.25

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Solution

The third proportional to 299,337.75 and 650,342.25 is: 1,412,935.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,337.75 : 650,342.25 = 650,342.25 : x
  2. Step 2: Convert to fraction form
    299,337.75/650,342.25 = 650,342.25/x
  3. Step 3: Cross multiply
    299,337.75x = 650,342.25 × 650,342.25
  4. Step 4: Simplify right side
    299,337.75x = 422,945,042,135.06
  5. Step 5: Solve for x
    x = 422,945,042,135.06/299,337.75
  6. Step 6: Final answer
    x = 1,412,935.86

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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.