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Finding the Third Proportional to 344,182 and 738,186

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Solution

The third proportional to 344,182 and 738,186 is: 1,583,227.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,182 : 738,186 = 738,186 : x
  2. Step 2: Convert to fraction form
    344,182/738,186 = 738,186/x
  3. Step 3: Cross multiply
    344,182x = 738,186 × 738,186
  4. Step 4: Simplify right side
    344,182x = 544,918,570,596
  5. Step 5: Solve for x
    x = 544,918,570,596/344,182
  6. Step 6: Final answer
    x = 1,583,227.97

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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.