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Finding the Third Proportional to 339,774 and 738,516

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Solution

The third proportional to 339,774 and 738,516 is: 1,605,201.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,774 : 738,516 = 738,516 : x
  2. Step 2: Convert to fraction form
    339,774/738,516 = 738,516/x
  3. Step 3: Cross multiply
    339,774x = 738,516 × 738,516
  4. Step 4: Simplify right side
    339,774x = 545,405,882,256
  5. Step 5: Solve for x
    x = 545,405,882,256/339,774
  6. Step 6: Final answer
    x = 1,605,201.93

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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.