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Finding the Third Proportional to 299,865.38 and 633,399.75

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Solution

The third proportional to 299,865.38 and 633,399.75 is: 1,337,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,865.38 : 633,399.75 = 633,399.75 : x
  2. Step 2: Convert to fraction form
    299,865.38/633,399.75 = 633,399.75/x
  3. Step 3: Cross multiply
    299,865.38x = 633,399.75 × 633,399.75
  4. Step 4: Simplify right side
    299,865.38x = 401,195,243,300.06
  5. Step 5: Solve for x
    x = 401,195,243,300.06/299,865.38
  6. Step 6: Final answer
    x = 1,337,917.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.