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Finding the Third Proportional to 339,264 and 736,992

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Solution

The third proportional to 339,264 and 736,992 is: 1,600,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,264 : 736,992 = 736,992 : x
  2. Step 2: Convert to fraction form
    339,264/736,992 = 736,992/x
  3. Step 3: Cross multiply
    339,264x = 736,992 × 736,992
  4. Step 4: Simplify right side
    339,264x = 543,157,208,064
  5. Step 5: Solve for x
    x = 543,157,208,064/339,264
  6. Step 6: Final answer
    x = 1,600,986.87

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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.