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Finding the Third Proportional to 299,999.50 and 633,722

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Solution

The third proportional to 299,999.50 and 633,722 is: 1,338,680.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,999.50 : 633,722 = 633,722 : x
  2. Step 2: Convert to fraction form
    299,999.50/633,722 = 633,722/x
  3. Step 3: Cross multiply
    299,999.50x = 633,722 × 633,722
  4. Step 4: Simplify right side
    299,999.50x = 401,603,573,284
  5. Step 5: Solve for x
    x = 401,603,573,284/299,999.50
  6. Step 6: Final answer
    x = 1,338,680.81

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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.