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Finding the Third Proportional to 294,067 and 637,912

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Solution

The third proportional to 294,067 and 637,912 is: 1,383,806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,067 : 637,912 = 637,912 : x
  2. Step 2: Convert to fraction form
    294,067/637,912 = 637,912/x
  3. Step 3: Cross multiply
    294,067x = 637,912 × 637,912
  4. Step 4: Simplify right side
    294,067x = 406,931,719,744
  5. Step 5: Solve for x
    x = 406,931,719,744/294,067
  6. Step 6: Final answer
    x = 1,383,806.14

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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.