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Finding the Third Proportional to 319,406 and 444,111

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Solution

The third proportional to 319,406 and 444,111 is: 617,504.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,406 : 444,111 = 444,111 : x
  2. Step 2: Convert to fraction form
    319,406/444,111 = 444,111/x
  3. Step 3: Cross multiply
    319,406x = 444,111 × 444,111
  4. Step 4: Simplify right side
    319,406x = 197,234,580,321
  5. Step 5: Solve for x
    x = 197,234,580,321/319,406
  6. Step 6: Final answer
    x = 617,504.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.