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Finding the Third Proportional to 349,120 and 751,696

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Solution

The third proportional to 349,120 and 751,696 is: 1,618,488.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,120 : 751,696 = 751,696 : x
  2. Step 2: Convert to fraction form
    349,120/751,696 = 751,696/x
  3. Step 3: Cross multiply
    349,120x = 751,696 × 751,696
  4. Step 4: Simplify right side
    349,120x = 565,046,876,416
  5. Step 5: Solve for x
    x = 565,046,876,416/349,120
  6. Step 6: Final answer
    x = 1,618,488.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.