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Finding the Third Proportional to 339,610 and 738,188

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Solution

The third proportional to 339,610 and 738,188 is: 1,604,550.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,610 : 738,188 = 738,188 : x
  2. Step 2: Convert to fraction form
    339,610/738,188 = 738,188/x
  3. Step 3: Cross multiply
    339,610x = 738,188 × 738,188
  4. Step 4: Simplify right side
    339,610x = 544,921,523,344
  5. Step 5: Solve for x
    x = 544,921,523,344/339,610
  6. Step 6: Final answer
    x = 1,604,550.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.