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Finding the Third Proportional to 340,118 and 491,668

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Solution

The third proportional to 340,118 and 491,668 is: 710,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,118 : 491,668 = 491,668 : x
  2. Step 2: Convert to fraction form
    340,118/491,668 = 491,668/x
  3. Step 3: Cross multiply
    340,118x = 491,668 × 491,668
  4. Step 4: Simplify right side
    340,118x = 241,737,422,224
  5. Step 5: Solve for x
    x = 241,737,422,224/340,118
  6. Step 6: Final answer
    x = 710,745.75

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.