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Finding the Third Proportional to 247,969 and 370,992

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Solution

The third proportional to 247,969 and 370,992 is: 555,049.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,969 : 370,992 = 370,992 : x
  2. Step 2: Convert to fraction form
    247,969/370,992 = 370,992/x
  3. Step 3: Cross multiply
    247,969x = 370,992 × 370,992
  4. Step 4: Simplify right side
    247,969x = 137,635,064,064
  5. Step 5: Solve for x
    x = 137,635,064,064/247,969
  6. Step 6: Final answer
    x = 555,049.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.