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Finding the Third Proportional to 344,171 and 738,165

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Solution

The third proportional to 344,171 and 738,165 is: 1,583,188.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,171 : 738,165 = 738,165 : x
  2. Step 2: Convert to fraction form
    344,171/738,165 = 738,165/x
  3. Step 3: Cross multiply
    344,171x = 738,165 × 738,165
  4. Step 4: Simplify right side
    344,171x = 544,887,567,225
  5. Step 5: Solve for x
    x = 544,887,567,225/344,171
  6. Step 6: Final answer
    x = 1,583,188.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.