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Finding the Third Proportional to 344,680 and 729,102

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Solution

The third proportional to 344,680 and 729,102 is: 1,542,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,680 : 729,102 = 729,102 : x
  2. Step 2: Convert to fraction form
    344,680/729,102 = 729,102/x
  3. Step 3: Cross multiply
    344,680x = 729,102 × 729,102
  4. Step 4: Simplify right side
    344,680x = 531,589,726,404
  5. Step 5: Solve for x
    x = 531,589,726,404/344,680
  6. Step 6: Final answer
    x = 1,542,270.30

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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.