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Finding the Third Proportional to 344,174 and 738,172

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Solution

The third proportional to 344,174 and 738,172 is: 1,583,204.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,174 : 738,172 = 738,172 : x
  2. Step 2: Convert to fraction form
    344,174/738,172 = 738,172/x
  3. Step 3: Cross multiply
    344,174x = 738,172 × 738,172
  4. Step 4: Simplify right side
    344,174x = 544,897,901,584
  5. Step 5: Solve for x
    x = 544,897,901,584/344,174
  6. Step 6: Final answer
    x = 1,583,204.72

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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.