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Finding the Third Proportional to 349,879 and 763,064

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Solution

The third proportional to 349,879 and 763,064 is: 1,664,194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,879 : 763,064 = 763,064 : x
  2. Step 2: Convert to fraction form
    349,879/763,064 = 763,064/x
  3. Step 3: Cross multiply
    349,879x = 763,064 × 763,064
  4. Step 4: Simplify right side
    349,879x = 582,266,668,096
  5. Step 5: Solve for x
    x = 582,266,668,096/349,879
  6. Step 6: Final answer
    x = 1,664,194.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.