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Finding the Third Proportional to 339,152 and 723,344

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Solution

The third proportional to 339,152 and 723,344 is: 1,542,749.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,152 : 723,344 = 723,344 : x
  2. Step 2: Convert to fraction form
    339,152/723,344 = 723,344/x
  3. Step 3: Cross multiply
    339,152x = 723,344 × 723,344
  4. Step 4: Simplify right side
    339,152x = 523,226,542,336
  5. Step 5: Solve for x
    x = 523,226,542,336/339,152
  6. Step 6: Final answer
    x = 1,542,749.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.