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Finding the Third Proportional to 299,934 and 476,996

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Solution

The third proportional to 299,934 and 476,996 is: 758,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,934 : 476,996 = 476,996 : x
  2. Step 2: Convert to fraction form
    299,934/476,996 = 476,996/x
  3. Step 3: Cross multiply
    299,934x = 476,996 × 476,996
  4. Step 4: Simplify right side
    299,934x = 227,525,184,016
  5. Step 5: Solve for x
    x = 227,525,184,016/299,934
  6. Step 6: Final answer
    x = 758,584.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.