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Finding the Third Proportional to 300,001 and 633,725

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Solution

The third proportional to 300,001 and 633,725 is: 1,338,686.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,001 : 633,725 = 633,725 : x
  2. Step 2: Convert to fraction form
    300,001/633,725 = 633,725/x
  3. Step 3: Cross multiply
    300,001x = 633,725 × 633,725
  4. Step 4: Simplify right side
    300,001x = 401,607,375,625
  5. Step 5: Solve for x
    x = 401,607,375,625/300,001
  6. Step 6: Final answer
    x = 1,338,686.79

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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.