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Finding the Third Proportional to 344,576 and 730,067

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Solution

The third proportional to 344,576 and 730,067 is: 1,546,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,576 : 730,067 = 730,067 : x
  2. Step 2: Convert to fraction form
    344,576/730,067 = 730,067/x
  3. Step 3: Cross multiply
    344,576x = 730,067 × 730,067
  4. Step 4: Simplify right side
    344,576x = 532,997,824,489
  5. Step 5: Solve for x
    x = 532,997,824,489/344,576
  6. Step 6: Final answer
    x = 1,546,822.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.