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Finding the Third Proportional to 351,424 and 758,144

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Solution

The third proportional to 351,424 and 758,144 is: 1,635,580.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,424 : 758,144 = 758,144 : x
  2. Step 2: Convert to fraction form
    351,424/758,144 = 758,144/x
  3. Step 3: Cross multiply
    351,424x = 758,144 × 758,144
  4. Step 4: Simplify right side
    351,424x = 574,782,324,736
  5. Step 5: Solve for x
    x = 574,782,324,736/351,424
  6. Step 6: Final answer
    x = 1,635,580.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.