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Finding the Third Proportional to 344,180 and 738,182

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Solution

The third proportional to 344,180 and 738,182 is: 1,583,220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,180 : 738,182 = 738,182 : x
  2. Step 2: Convert to fraction form
    344,180/738,182 = 738,182/x
  3. Step 3: Cross multiply
    344,180x = 738,182 × 738,182
  4. Step 4: Simplify right side
    344,180x = 544,912,665,124
  5. Step 5: Solve for x
    x = 544,912,665,124/344,180
  6. Step 6: Final answer
    x = 1,583,220.02

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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.