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Finding the Third Proportional to 344,187 and 738,198

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Solution

The third proportional to 344,187 and 738,198 is: 1,583,256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,187 : 738,198 = 738,198 : x
  2. Step 2: Convert to fraction form
    344,187/738,198 = 738,198/x
  3. Step 3: Cross multiply
    344,187x = 738,198 × 738,198
  4. Step 4: Simplify right side
    344,187x = 544,936,287,204
  5. Step 5: Solve for x
    x = 544,936,287,204/344,187
  6. Step 6: Final answer
    x = 1,583,256.45

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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.