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Finding the Third Proportional to 299,740 and 641,996

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Solution

The third proportional to 299,740 and 641,996 is: 1,375,054.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,740 : 641,996 = 641,996 : x
  2. Step 2: Convert to fraction form
    299,740/641,996 = 641,996/x
  3. Step 3: Cross multiply
    299,740x = 641,996 × 641,996
  4. Step 4: Simplify right side
    299,740x = 412,158,864,016
  5. Step 5: Solve for x
    x = 412,158,864,016/299,740
  6. Step 6: Final answer
    x = 1,375,054.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.